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Finding the Fourth Proportional to 141,669, 195,503.22 and 78,006.65

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Solution

The fourth proportional to 141,669, 195,503.22 and 78,006.65 is: 107,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,669 : 195,503.22 = 78,006.65 : x
  2. Step 2: Convert to fraction form
    141,669/195,503.22 = 78,006.65/x
  3. Step 3: Cross multiply
    141,669x = 195,503.22 × 78,006.65
  4. Step 4: Simplify right side
    141,669x = 15,250,550,278.90
  5. Step 5: Solve for x
    x = 15,250,550,278.90/141,669
  6. Step 6: Final answer
    x = 107,649.17

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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.