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Finding the Fourth Proportional to 178,442, 267,766.68 and 79,946

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Solution

The fourth proportional to 178,442, 267,766.68 and 79,946 is: 119,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,442 : 267,766.68 = 79,946 : x
  2. Step 2: Convert to fraction form
    178,442/267,766.68 = 79,946/x
  3. Step 3: Cross multiply
    178,442x = 267,766.68 × 79,946
  4. Step 4: Simplify right side
    178,442x = 21,406,874,999.28
  5. Step 5: Solve for x
    x = 21,406,874,999.28/178,442
  6. Step 6: Final answer
    x = 119,965.45

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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.