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Finding the Fourth Proportional to 65,649.88, 90,565.86 and 47,737

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Solution

The fourth proportional to 65,649.88, 90,565.86 and 47,737 is: 65,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,649.88 : 90,565.86 = 47,737 : x
  2. Step 2: Convert to fraction form
    65,649.88/90,565.86 = 47,737/x
  3. Step 3: Cross multiply
    65,649.88x = 90,565.86 × 47,737
  4. Step 4: Simplify right side
    65,649.88x = 4,323,342,458.82
  5. Step 5: Solve for x
    x = 4,323,342,458.82/65,649.88
  6. Step 6: Final answer
    x = 65,854.54

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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.