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Finding the Fourth Proportional to 71,005.88, 97,988.43 and 39,175.72

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Solution

The fourth proportional to 71,005.88, 97,988.43 and 39,175.72 is: 54,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,005.88 : 97,988.43 = 39,175.72 : x
  2. Step 2: Convert to fraction form
    71,005.88/97,988.43 = 39,175.72/x
  3. Step 3: Cross multiply
    71,005.88x = 97,988.43 × 39,175.72
  4. Step 4: Simplify right side
    71,005.88x = 3,838,767,198.86
  5. Step 5: Solve for x
    x = 3,838,767,198.86/71,005.88
  6. Step 6: Final answer
    x = 54,062.66

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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.