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Finding the Fourth Proportional to 177,578.40, 266,140.80 and 72,278.40

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Solution

The fourth proportional to 177,578.40, 266,140.80 and 72,278.40 is: 108,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,578.40 : 266,140.80 = 72,278.40 : x
  2. Step 2: Convert to fraction form
    177,578.40/266,140.80 = 72,278.40/x
  3. Step 3: Cross multiply
    177,578.40x = 266,140.80 × 72,278.40
  4. Step 4: Simplify right side
    177,578.40x = 19,236,231,198.72
  5. Step 5: Solve for x
    x = 19,236,231,198.72/177,578.40
  6. Step 6: Final answer
    x = 108,325.29

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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.