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Finding the Fourth Proportional to 147,046.20, 220,715.10 and 72,250.80

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Solution

The fourth proportional to 147,046.20, 220,715.10 and 72,250.80 is: 108,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,046.20 : 220,715.10 = 72,250.80 : x
  2. Step 2: Convert to fraction form
    147,046.20/220,715.10 = 72,250.80/x
  3. Step 3: Cross multiply
    147,046.20x = 220,715.10 × 72,250.80
  4. Step 4: Simplify right side
    147,046.20x = 15,946,842,547.08
  5. Step 5: Solve for x
    x = 15,946,842,547.08/147,046.20
  6. Step 6: Final answer
    x = 108,447.84

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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.