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Finding the Fourth Proportional to 141,310.92, 195,013.86 and 77,651

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Solution

The fourth proportional to 141,310.92, 195,013.86 and 77,651 is: 107,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,310.92 : 195,013.86 = 77,651 : x
  2. Step 2: Convert to fraction form
    141,310.92/195,013.86 = 77,651/x
  3. Step 3: Cross multiply
    141,310.92x = 195,013.86 × 77,651
  4. Step 4: Simplify right side
    141,310.92x = 15,143,021,242.86
  5. Step 5: Solve for x
    x = 15,143,021,242.86/141,310.92
  6. Step 6: Final answer
    x = 107,161.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.