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Finding the Fourth Proportional to 138,747.40, 208,121.10 and 68,763.40

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Solution

The fourth proportional to 138,747.40, 208,121.10 and 68,763.40 is: 103,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,747.40 : 208,121.10 = 68,763.40 : x
  2. Step 2: Convert to fraction form
    138,747.40/208,121.10 = 68,763.40/x
  3. Step 3: Cross multiply
    138,747.40x = 208,121.10 × 68,763.40
  4. Step 4: Simplify right side
    138,747.40x = 14,311,114,447.74
  5. Step 5: Solve for x
    x = 14,311,114,447.74/138,747.40
  6. Step 6: Final answer
    x = 103,145.10

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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.