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Finding the Fourth Proportional to 138,510.40, 207,765.60 and 85,748.80

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Solution

The fourth proportional to 138,510.40, 207,765.60 and 85,748.80 is: 128,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,510.40 : 207,765.60 = 85,748.80 : x
  2. Step 2: Convert to fraction form
    138,510.40/207,765.60 = 85,748.80/x
  3. Step 3: Cross multiply
    138,510.40x = 207,765.60 × 85,748.80
  4. Step 4: Simplify right side
    138,510.40x = 17,815,650,881.28
  5. Step 5: Solve for x
    x = 17,815,650,881.28/138,510.40
  6. Step 6: Final answer
    x = 128,623.20

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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.