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Finding the Fourth Proportional to 137,922.60, 207,078.30 and 85,434.60

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Solution

The fourth proportional to 137,922.60, 207,078.30 and 85,434.60 is: 128,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,922.60 : 207,078.30 = 85,434.60 : x
  2. Step 2: Convert to fraction form
    137,922.60/207,078.30 = 85,434.60/x
  3. Step 3: Cross multiply
    137,922.60x = 207,078.30 × 85,434.60
  4. Step 4: Simplify right side
    137,922.60x = 17,691,651,729.18
  5. Step 5: Solve for x
    x = 17,691,651,729.18/137,922.60
  6. Step 6: Final answer
    x = 128,272.32

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1.5x scale

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.