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Finding the Fourth Proportional to 140,512.54, 210,755.13 and 77,311.89

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Solution

The fourth proportional to 140,512.54, 210,755.13 and 77,311.89 is: 115,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,512.54 : 210,755.13 = 77,311.89 : x
  2. Step 2: Convert to fraction form
    140,512.54/210,755.13 = 77,311.89/x
  3. Step 3: Cross multiply
    140,512.54x = 210,755.13 × 77,311.89
  4. Step 4: Simplify right side
    140,512.54x = 16,293,876,373.72
  5. Step 5: Solve for x
    x = 16,293,876,373.72/140,512.54
  6. Step 6: Final answer
    x = 115,960.30

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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.