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Finding the Fourth Proportional to 136,139.40, 203,966.10 and 65,863.80

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Solution

The fourth proportional to 136,139.40, 203,966.10 and 65,863.80 is: 98,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,139.40 : 203,966.10 = 65,863.80 : x
  2. Step 2: Convert to fraction form
    136,139.40/203,966.10 = 65,863.80/x
  3. Step 3: Cross multiply
    136,139.40x = 203,966.10 × 65,863.80
  4. Step 4: Simplify right side
    136,139.40x = 13,433,982,417.18
  5. Step 5: Solve for x
    x = 13,433,982,417.18/136,139.40
  6. Step 6: Final answer
    x = 98,678.14

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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.