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Finding the Fourth Proportional to 140,780.70, 210,876.65 and 65,964.70

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Solution

The fourth proportional to 140,780.70, 210,876.65 and 65,964.70 is: 98,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,780.70 : 210,876.65 = 65,964.70 : x
  2. Step 2: Convert to fraction form
    140,780.70/210,876.65 = 65,964.70/x
  3. Step 3: Cross multiply
    140,780.70x = 210,876.65 × 65,964.70
  4. Step 4: Simplify right side
    140,780.70x = 13,910,414,954.26
  5. Step 5: Solve for x
    x = 13,910,414,954.26/140,780.70
  6. Step 6: Final answer
    x = 98,809.10

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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.