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Finding the Fourth Proportional to 206,968,959.99, 310,453,440.32 and 84,118,494.87

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Solution

The fourth proportional to 206,968,959.99, 310,453,440.32 and 84,118,494.87 is: 126,177,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,968,959.99 : 310,453,440.32 = 84,118,494.87 : x
  2. Step 2: Convert to fraction form
    206,968,959.99/310,453,440.32 = 84,118,494.87/x
  3. Step 3: Cross multiply
    206,968,959.99x = 310,453,440.32 × 84,118,494.87
  4. Step 4: Simplify right side
    206,968,959.99x = 26,114,876,127,142,068
  5. Step 5: Solve for x
    x = 26,114,876,127,142,068/206,968,959.99
  6. Step 6: Final answer
    x = 126,177,742.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.