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Finding the Fourth Proportional to 138,318.10, 207,671.55 and 85,830.10

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Solution

The fourth proportional to 138,318.10, 207,671.55 and 85,830.10 is: 128,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,318.10 : 207,671.55 = 85,830.10 : x
  2. Step 2: Convert to fraction form
    138,318.10/207,671.55 = 85,830.10/x
  3. Step 3: Cross multiply
    138,318.10x = 207,671.55 × 85,830.10
  4. Step 4: Simplify right side
    138,318.10x = 17,824,469,903.66
  5. Step 5: Solve for x
    x = 17,824,469,903.66/138,318.10
  6. Step 6: Final answer
    x = 128,865.78

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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.