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Finding the Fourth Proportional to 78,275.43, 108,020.13 and 42,465.43

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Solution

The fourth proportional to 78,275.43, 108,020.13 and 42,465.43 is: 58,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,275.43 : 108,020.13 = 42,465.43 : x
  2. Step 2: Convert to fraction form
    78,275.43/108,020.13 = 42,465.43/x
  3. Step 3: Cross multiply
    78,275.43x = 108,020.13 × 42,465.43
  4. Step 4: Simplify right side
    78,275.43x = 4,587,121,404.13
  5. Step 5: Solve for x
    x = 4,587,121,404.13/78,275.43
  6. Step 6: Final answer
    x = 58,602.31

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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.