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Finding the Fourth Proportional to 136,913.76, 205,359.84 and 43,420.32

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Solution

The fourth proportional to 136,913.76, 205,359.84 and 43,420.32 is: 65,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,913.76 : 205,359.84 = 43,420.32 : x
  2. Step 2: Convert to fraction form
    136,913.76/205,359.84 = 43,420.32/x
  3. Step 3: Cross multiply
    136,913.76x = 205,359.84 × 43,420.32
  4. Step 4: Simplify right side
    136,913.76x = 8,916,789,967.95
  5. Step 5: Solve for x
    x = 8,916,789,967.95/136,913.76
  6. Step 6: Final answer
    x = 65,127.05

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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.