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Finding the Fourth Proportional to 140,279.43, 210,419.60 and 35,098.40

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Solution

The fourth proportional to 140,279.43, 210,419.60 and 35,098.40 is: 52,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,279.43 : 210,419.60 = 35,098.40 : x
  2. Step 2: Convert to fraction form
    140,279.43/210,419.60 = 35,098.40/x
  3. Step 3: Cross multiply
    140,279.43x = 210,419.60 × 35,098.40
  4. Step 4: Simplify right side
    140,279.43x = 7,385,390,061.05
  5. Step 5: Solve for x
    x = 7,385,390,061.05/140,279.43
  6. Step 6: Final answer
    x = 52,647.71

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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.