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Finding the Fourth Proportional to 141,374.70, 195,091.92 and 77,711.94

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Solution

The fourth proportional to 141,374.70, 195,091.92 and 77,711.94 is: 107,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,374.70 : 195,091.92 = 77,711.94 : x
  2. Step 2: Convert to fraction form
    141,374.70/195,091.92 = 77,711.94/x
  3. Step 3: Cross multiply
    141,374.70x = 195,091.92 × 77,711.94
  4. Step 4: Simplify right side
    141,374.70x = 15,160,971,581.52
  5. Step 5: Solve for x
    x = 15,160,971,581.52/141,374.70
  6. Step 6: Final answer
    x = 107,239.64

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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.