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Finding the Fourth Proportional to 138,495.80, 207,743.70 and 85,964.60

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Solution

The fourth proportional to 138,495.80, 207,743.70 and 85,964.60 is: 128,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,495.80 : 207,743.70 = 85,964.60 : x
  2. Step 2: Convert to fraction form
    138,495.80/207,743.70 = 85,964.60/x
  3. Step 3: Cross multiply
    138,495.80x = 207,743.70 × 85,964.60
  4. Step 4: Simplify right side
    138,495.80x = 17,858,604,073.02
  5. Step 5: Solve for x
    x = 17,858,604,073.02/138,495.80
  6. Step 6: Final answer
    x = 128,946.90

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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.