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Finding the Fourth Proportional to 47,605, 65,667.54 and 29,691.40

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Solution

The fourth proportional to 47,605, 65,667.54 and 29,691.40 is: 40,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,605 : 65,667.54 = 29,691.40 : x
  2. Step 2: Convert to fraction form
    47,605/65,667.54 = 29,691.40/x
  3. Step 3: Cross multiply
    47,605x = 65,667.54 × 29,691.40
  4. Step 4: Simplify right side
    47,605x = 1,949,761,197.16
  5. Step 5: Solve for x
    x = 1,949,761,197.16/47,605
  6. Step 6: Final answer
    x = 40,957.07

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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.