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Finding the Fourth Proportional to 138,344.13, 207,368.37 and 98,781.30

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Solution

The fourth proportional to 138,344.13, 207,368.37 and 98,781.30 is: 148,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,344.13 : 207,368.37 = 98,781.30 : x
  2. Step 2: Convert to fraction form
    138,344.13/207,368.37 = 98,781.30/x
  3. Step 3: Cross multiply
    138,344.13x = 207,368.37 × 98,781.30
  4. Step 4: Simplify right side
    138,344.13x = 20,484,117,167.48
  5. Step 5: Solve for x
    x = 20,484,117,167.48/138,344.13
  6. Step 6: Final answer
    x = 148,066.40

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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.