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Finding the Fourth Proportional to 178,712.84, 267,661.02 and 85,284.20

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Solution

The fourth proportional to 178,712.84, 267,661.02 and 85,284.20 is: 127,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,712.84 : 267,661.02 = 85,284.20 : x
  2. Step 2: Convert to fraction form
    178,712.84/267,661.02 = 85,284.20/x
  3. Step 3: Cross multiply
    178,712.84x = 267,661.02 × 85,284.20
  4. Step 4: Simplify right side
    178,712.84x = 22,827,255,961.88
  5. Step 5: Solve for x
    x = 22,827,255,961.88/178,712.84
  6. Step 6: Final answer
    x = 127,731.48

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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.