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Finding the Fourth Proportional to 178,236.97, 267,342 and 51,878.20

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Solution

The fourth proportional to 178,236.97, 267,342 and 51,878.20 is: 77,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,236.97 : 267,342 = 51,878.20 : x
  2. Step 2: Convert to fraction form
    178,236.97/267,342 = 51,878.20/x
  3. Step 3: Cross multiply
    178,236.97x = 267,342 × 51,878.20
  4. Step 4: Simplify right side
    178,236.97x = 13,869,221,744.40
  5. Step 5: Solve for x
    x = 13,869,221,744.40/178,236.97
  6. Step 6: Final answer
    x = 77,813.38

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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.