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Finding the Fourth Proportional to 208,064.16, 312,109.20 and 83,388.96

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Solution

The fourth proportional to 208,064.16, 312,109.20 and 83,388.96 is: 125,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,064.16 : 312,109.20 = 83,388.96 : x
  2. Step 2: Convert to fraction form
    208,064.16/312,109.20 = 83,388.96/x
  3. Step 3: Cross multiply
    208,064.16x = 312,109.20 × 83,388.96
  4. Step 4: Simplify right side
    208,064.16x = 26,026,461,594.43
  5. Step 5: Solve for x
    x = 26,026,461,594.43/208,064.16
  6. Step 6: Final answer
    x = 125,088.63

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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.