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Finding the Fourth Proportional to 138,386.40, 207,968.40 and 121,279.20

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Solution

The fourth proportional to 138,386.40, 207,968.40 and 121,279.20 is: 182,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,386.40 : 207,968.40 = 121,279.20 : x
  2. Step 2: Convert to fraction form
    138,386.40/207,968.40 = 121,279.20/x
  3. Step 3: Cross multiply
    138,386.40x = 207,968.40 × 121,279.20
  4. Step 4: Simplify right side
    138,386.40x = 25,222,241,177.28
  5. Step 5: Solve for x
    x = 25,222,241,177.28/138,386.40
  6. Step 6: Final answer
    x = 182,259.54

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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.