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Finding the Fourth Proportional to 83,151.69, 114,787.16 and 52,978.38

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Solution

The fourth proportional to 83,151.69, 114,787.16 and 52,978.38 is: 73,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.69 : 114,787.16 = 52,978.38 : x
  2. Step 2: Convert to fraction form
    83,151.69/114,787.16 = 52,978.38/x
  3. Step 3: Cross multiply
    83,151.69x = 114,787.16 × 52,978.38
  4. Step 4: Simplify right side
    83,151.69x = 6,081,237,781.60
  5. Step 5: Solve for x
    x = 6,081,237,781.60/83,151.69
  6. Step 6: Final answer
    x = 73,134.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.