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Finding the Fourth Proportional to 83,740.97, 115,567.71 and 47,930.16

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Solution

The fourth proportional to 83,740.97, 115,567.71 and 47,930.16 is: 66,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,740.97 : 115,567.71 = 47,930.16 : x
  2. Step 2: Convert to fraction form
    83,740.97/115,567.71 = 47,930.16/x
  3. Step 3: Cross multiply
    83,740.97x = 115,567.71 × 47,930.16
  4. Step 4: Simplify right side
    83,740.97x = 5,539,179,354.38
  5. Step 5: Solve for x
    x = 5,539,179,354.38/83,740.97
  6. Step 6: Final answer
    x = 66,146.58

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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.