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Finding the Fourth Proportional to 177,332, 266,048 and 72,226.40

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Solution

The fourth proportional to 177,332, 266,048 and 72,226.40 is: 108,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,332 : 266,048 = 72,226.40 : x
  2. Step 2: Convert to fraction form
    177,332/266,048 = 72,226.40/x
  3. Step 3: Cross multiply
    177,332x = 266,048 × 72,226.40
  4. Step 4: Simplify right side
    177,332x = 19,215,689,267.20
  5. Step 5: Solve for x
    x = 19,215,689,267.20/177,332
  6. Step 6: Final answer
    x = 108,359.96

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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.