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Finding the Fourth Proportional to 140,470.68, 210,438.78 and 83,423.70

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Solution

The fourth proportional to 140,470.68, 210,438.78 and 83,423.70 is: 124,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,470.68 : 210,438.78 = 83,423.70 : x
  2. Step 2: Convert to fraction form
    140,470.68/210,438.78 = 83,423.70/x
  3. Step 3: Cross multiply
    140,470.68x = 210,438.78 × 83,423.70
  4. Step 4: Simplify right side
    140,470.68x = 17,555,581,651.09
  5. Step 5: Solve for x
    x = 17,555,581,651.09/140,470.68
  6. Step 6: Final answer
    x = 124,976.84

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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.