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Finding the Fourth Proportional to 141,503.67, 195,278.09 and 77,841.47

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Solution

The fourth proportional to 141,503.67, 195,278.09 and 77,841.47 is: 107,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,503.67 : 195,278.09 = 77,841.47 : x
  2. Step 2: Convert to fraction form
    141,503.67/195,278.09 = 77,841.47/x
  3. Step 3: Cross multiply
    141,503.67x = 195,278.09 × 77,841.47
  4. Step 4: Simplify right side
    141,503.67x = 15,200,733,584.39
  5. Step 5: Solve for x
    x = 15,200,733,584.39/141,503.67
  6. Step 6: Final answer
    x = 107,422.89

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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.