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Finding the Fourth Proportional to 138,020.40, 207,030.60 and 117,025.20

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Solution

The fourth proportional to 138,020.40, 207,030.60 and 117,025.20 is: 175,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,020.40 : 207,030.60 = 117,025.20 : x
  2. Step 2: Convert to fraction form
    138,020.40/207,030.60 = 117,025.20/x
  3. Step 3: Cross multiply
    138,020.40x = 207,030.60 × 117,025.20
  4. Step 4: Simplify right side
    138,020.40x = 24,227,797,371.12
  5. Step 5: Solve for x
    x = 24,227,797,371.12/138,020.40
  6. Step 6: Final answer
    x = 175,537.80

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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.