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Finding the Fourth Proportional to 64,991.52, 97,531.20 and 31,727.52

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Solution

The fourth proportional to 64,991.52, 97,531.20 and 31,727.52 is: 47,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,991.52 : 97,531.20 = 31,727.52 : x
  2. Step 2: Convert to fraction form
    64,991.52/97,531.20 = 31,727.52/x
  3. Step 3: Cross multiply
    64,991.52x = 97,531.20 × 31,727.52
  4. Step 4: Simplify right side
    64,991.52x = 3,094,423,098.62
  5. Step 5: Solve for x
    x = 3,094,423,098.62/64,991.52
  6. Step 6: Final answer
    x = 47,612.72

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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.