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Finding the Fourth Proportional to 72,314.30, 108,461.45 and 22,428.70

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Solution

The fourth proportional to 72,314.30, 108,461.45 and 22,428.70 is: 33,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,314.30 : 108,461.45 = 22,428.70 : x
  2. Step 2: Convert to fraction form
    72,314.30/108,461.45 = 22,428.70/x
  3. Step 3: Cross multiply
    72,314.30x = 108,461.45 × 22,428.70
  4. Step 4: Simplify right side
    72,314.30x = 2,432,649,323.62
  5. Step 5: Solve for x
    x = 2,432,649,323.62/72,314.30
  6. Step 6: Final answer
    x = 33,639.95

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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.