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Finding the Fourth Proportional to 68,139.40, 102,209.10 and 64,251.40

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Solution

The fourth proportional to 68,139.40, 102,209.10 and 64,251.40 is: 96,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,139.40 : 102,209.10 = 64,251.40 : x
  2. Step 2: Convert to fraction form
    68,139.40/102,209.10 = 64,251.40/x
  3. Step 3: Cross multiply
    68,139.40x = 102,209.10 × 64,251.40
  4. Step 4: Simplify right side
    68,139.40x = 6,567,077,767.74
  5. Step 5: Solve for x
    x = 6,567,077,767.74/68,139.40
  6. Step 6: Final answer
    x = 96,377.10

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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.