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Finding the Fourth Proportional to 141,073.74, 194,685.72 and 77,415.66

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Solution

The fourth proportional to 141,073.74, 194,685.72 and 77,415.66 is: 106,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,073.74 : 194,685.72 = 77,415.66 : x
  2. Step 2: Convert to fraction form
    141,073.74/194,685.72 = 77,415.66/x
  3. Step 3: Cross multiply
    141,073.74x = 194,685.72 × 77,415.66
  4. Step 4: Simplify right side
    141,073.74x = 15,071,723,506.38
  5. Step 5: Solve for x
    x = 15,071,723,506.38/141,073.74
  6. Step 6: Final answer
    x = 106,835.78

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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.