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Finding the Fourth Proportional to 178,656, 267,984 and 47,328

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Solution

The fourth proportional to 178,656, 267,984 and 47,328 is: 70,992

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,656 : 267,984 = 47,328 : x
  2. Step 2: Convert to fraction form
    178,656/267,984 = 47,328/x
  3. Step 3: Cross multiply
    178,656x = 267,984 × 47,328
  4. Step 4: Simplify right side
    178,656x = 12,683,146,752
  5. Step 5: Solve for x
    x = 12,683,146,752/178,656
  6. Step 6: Final answer
    x = 70,992

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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.