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Finding the Fourth Proportional to 71,983.62, 107,984.21 and 38,657.93

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Solution

The fourth proportional to 71,983.62, 107,984.21 and 38,657.93 is: 57,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,983.62 : 107,984.21 = 38,657.93 : x
  2. Step 2: Convert to fraction form
    71,983.62/107,984.21 = 38,657.93/x
  3. Step 3: Cross multiply
    71,983.62x = 107,984.21 × 38,657.93
  4. Step 4: Simplify right side
    71,983.62x = 4,174,445,298.07
  5. Step 5: Solve for x
    x = 4,174,445,298.07/71,983.62
  6. Step 6: Final answer
    x = 57,991.60

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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.