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Finding the Fourth Proportional to 53,418, 73,713.96 and 29,543.28

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Solution

The fourth proportional to 53,418, 73,713.96 and 29,543.28 is: 40,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,418 : 73,713.96 = 29,543.28 : x
  2. Step 2: Convert to fraction form
    53,418/73,713.96 = 29,543.28/x
  3. Step 3: Cross multiply
    53,418x = 73,713.96 × 29,543.28
  4. Step 4: Simplify right side
    53,418x = 2,177,752,160.19
  5. Step 5: Solve for x
    x = 2,177,752,160.19/53,418
  6. Step 6: Final answer
    x = 40,768.13

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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.