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Finding the Fourth Proportional to 71,521.74, 98,698.77 and 39,691.98

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Solution

The fourth proportional to 71,521.74, 98,698.77 and 39,691.98 is: 54,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,521.74 : 98,698.77 = 39,691.98 : x
  2. Step 2: Convert to fraction form
    71,521.74/98,698.77 = 39,691.98/x
  3. Step 3: Cross multiply
    71,521.74x = 98,698.77 × 39,691.98
  4. Step 4: Simplify right side
    71,521.74x = 3,917,549,604.86
  5. Step 5: Solve for x
    x = 3,917,549,604.86/71,521.74
  6. Step 6: Final answer
    x = 54,774.25

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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.