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Finding the Fourth Proportional to 178,256.53, 267,418.51 and 71,648.79

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Solution

The fourth proportional to 178,256.53, 267,418.51 and 71,648.79 is: 107,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,256.53 : 267,418.51 = 71,648.79 : x
  2. Step 2: Convert to fraction form
    178,256.53/267,418.51 = 71,648.79/x
  3. Step 3: Cross multiply
    178,256.53x = 267,418.51 × 71,648.79
  4. Step 4: Simplify right side
    178,256.53x = 19,160,212,665.10
  5. Step 5: Solve for x
    x = 19,160,212,665.10/178,256.53
  6. Step 6: Final answer
    x = 107,486.74

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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.