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Finding the Fourth Proportional to 138,617.40, 207,407.10 and 98,728.60

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Solution

The fourth proportional to 138,617.40, 207,407.10 and 98,728.60 is: 147,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,617.40 : 207,407.10 = 98,728.60 : x
  2. Step 2: Convert to fraction form
    138,617.40/207,407.10 = 98,728.60/x
  3. Step 3: Cross multiply
    138,617.40x = 207,407.10 × 98,728.60
  4. Step 4: Simplify right side
    138,617.40x = 20,477,012,613.06
  5. Step 5: Solve for x
    x = 20,477,012,613.06/138,617.40
  6. Step 6: Final answer
    x = 147,723.25

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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.