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Finding the Fourth Proportional to 72,643.92, 108,965.88 and 31,061.76

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Solution

The fourth proportional to 72,643.92, 108,965.88 and 31,061.76 is: 46,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,643.92 : 108,965.88 = 31,061.76 : x
  2. Step 2: Convert to fraction form
    72,643.92/108,965.88 = 31,061.76/x
  3. Step 3: Cross multiply
    72,643.92x = 108,965.88 × 31,061.76
  4. Step 4: Simplify right side
    72,643.92x = 3,384,672,012.75
  5. Step 5: Solve for x
    x = 3,384,672,012.75/72,643.92
  6. Step 6: Final answer
    x = 46,592.64

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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.