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Finding the Fourth Proportional to 71,984.62, 107,985.71 and 38,658.93

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Solution

The fourth proportional to 71,984.62, 107,985.71 and 38,658.93 is: 57,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,984.62 : 107,985.71 = 38,658.93 : x
  2. Step 2: Convert to fraction form
    71,984.62/107,985.71 = 38,658.93/x
  3. Step 3: Cross multiply
    71,984.62x = 107,985.71 × 38,658.93
  4. Step 4: Simplify right side
    71,984.62x = 4,174,612,003.89
  5. Step 5: Solve for x
    x = 4,174,612,003.89/71,984.62
  6. Step 6: Final answer
    x = 57,993.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.