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Finding the Fourth Proportional to 72,010.66, 107,984.49 and 38,269.34

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Solution

The fourth proportional to 72,010.66, 107,984.49 and 38,269.34 is: 57,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,010.66 : 107,984.49 = 38,269.34 : x
  2. Step 2: Convert to fraction form
    72,010.66/107,984.49 = 38,269.34/x
  3. Step 3: Cross multiply
    72,010.66x = 107,984.49 × 38,269.34
  4. Step 4: Simplify right side
    72,010.66x = 4,132,495,162.54
  5. Step 5: Solve for x
    x = 4,132,495,162.54/72,010.66
  6. Step 6: Final answer
    x = 57,387.27

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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.