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Finding the Fourth Proportional to 178,258, 267,387.61 and 45,138.20

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Solution

The fourth proportional to 178,258, 267,387.61 and 45,138.20 is: 67,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,258 : 267,387.61 = 45,138.20 : x
  2. Step 2: Convert to fraction form
    178,258/267,387.61 = 45,138.20/x
  3. Step 3: Cross multiply
    178,258x = 267,387.61 × 45,138.20
  4. Step 4: Simplify right side
    178,258x = 12,069,395,417.70
  5. Step 5: Solve for x
    x = 12,069,395,417.70/178,258
  6. Step 6: Final answer
    x = 67,707.45

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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.