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Finding the Fourth Proportional to 73,239.28, 109,832.92 and 31,663.60

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Solution

The fourth proportional to 73,239.28, 109,832.92 and 31,663.60 is: 47,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,239.28 : 109,832.92 = 31,663.60 : x
  2. Step 2: Convert to fraction form
    73,239.28/109,832.92 = 31,663.60/x
  3. Step 3: Cross multiply
    73,239.28x = 109,832.92 × 31,663.60
  4. Step 4: Simplify right side
    73,239.28x = 3,477,705,645.71
  5. Step 5: Solve for x
    x = 3,477,705,645.71/73,239.28
  6. Step 6: Final answer
    x = 47,484.16

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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.