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Finding the Fourth Proportional to 140,385.80, 210,578.70 and 138,081.80

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Solution

The fourth proportional to 140,385.80, 210,578.70 and 138,081.80 is: 207,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,385.80 : 210,578.70 = 138,081.80 : x
  2. Step 2: Convert to fraction form
    140,385.80/210,578.70 = 138,081.80/x
  3. Step 3: Cross multiply
    140,385.80x = 210,578.70 × 138,081.80
  4. Step 4: Simplify right side
    140,385.80x = 29,077,085,937.66
  5. Step 5: Solve for x
    x = 29,077,085,937.66/140,385.80
  6. Step 6: Final answer
    x = 207,122.70

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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.