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Finding the Fourth Proportional to 438,153, 657,229.56 and 105,729

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Solution

The fourth proportional to 438,153, 657,229.56 and 105,729 is: 158,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,153 : 657,229.56 = 105,729 : x
  2. Step 2: Convert to fraction form
    438,153/657,229.56 = 105,729/x
  3. Step 3: Cross multiply
    438,153x = 657,229.56 × 105,729
  4. Step 4: Simplify right side
    438,153x = 69,488,224,149.24
  5. Step 5: Solve for x
    x = 69,488,224,149.24/438,153
  6. Step 6: Final answer
    x = 158,593.51

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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.