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Finding the Fourth Proportional to 72,281.92, 108,461.76 and 68,938.24

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Solution

The fourth proportional to 72,281.92, 108,461.76 and 68,938.24 is: 103,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,281.92 : 108,461.76 = 68,938.24 : x
  2. Step 2: Convert to fraction form
    72,281.92/108,461.76 = 68,938.24/x
  3. Step 3: Cross multiply
    72,281.92x = 108,461.76 × 68,938.24
  4. Step 4: Simplify right side
    72,281.92x = 7,477,162,841.70
  5. Step 5: Solve for x
    x = 7,477,162,841.70/72,281.92
  6. Step 6: Final answer
    x = 103,444.44

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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.