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Finding the Fourth Proportional to 65,472.86, 90,349.63 and 38,251.47

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Solution

The fourth proportional to 65,472.86, 90,349.63 and 38,251.47 is: 52,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,472.86 : 90,349.63 = 38,251.47 : x
  2. Step 2: Convert to fraction form
    65,472.86/90,349.63 = 38,251.47/x
  3. Step 3: Cross multiply
    65,472.86x = 90,349.63 × 38,251.47
  4. Step 4: Simplify right side
    65,472.86x = 3,456,005,518.45
  5. Step 5: Solve for x
    x = 3,456,005,518.45/65,472.86
  6. Step 6: Final answer
    x = 52,785.32

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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.