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Finding the Fourth Proportional to 178,354.80, 267,459.24 and 77,158.56

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Solution

The fourth proportional to 178,354.80, 267,459.24 and 77,158.56 is: 115,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,354.80 : 267,459.24 = 77,158.56 : x
  2. Step 2: Convert to fraction form
    178,354.80/267,459.24 = 77,158.56/x
  3. Step 3: Cross multiply
    178,354.80x = 267,459.24 × 77,158.56
  4. Step 4: Simplify right side
    178,354.80x = 20,636,769,817.09
  5. Step 5: Solve for x
    x = 20,636,769,817.09/178,354.80
  6. Step 6: Final answer
    x = 115,706.28

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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.