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Finding the Fourth Proportional to 138,410.20, 207,615.30 and 103,418.20

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Solution

The fourth proportional to 138,410.20, 207,615.30 and 103,418.20 is: 155,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410.20 : 207,615.30 = 103,418.20 : x
  2. Step 2: Convert to fraction form
    138,410.20/207,615.30 = 103,418.20/x
  3. Step 3: Cross multiply
    138,410.20x = 207,615.30 × 103,418.20
  4. Step 4: Simplify right side
    138,410.20x = 21,471,200,618.46
  5. Step 5: Solve for x
    x = 21,471,200,618.46/138,410.20
  6. Step 6: Final answer
    x = 155,127.30

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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.