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Finding the Fourth Proportional to 141,129.84, 194,758.44 and 77,468.72

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Solution

The fourth proportional to 141,129.84, 194,758.44 and 77,468.72 is: 106,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,129.84 : 194,758.44 = 77,468.72 : x
  2. Step 2: Convert to fraction form
    141,129.84/194,758.44 = 77,468.72/x
  3. Step 3: Cross multiply
    141,129.84x = 194,758.44 × 77,468.72
  4. Step 4: Simplify right side
    141,129.84x = 15,087,687,056.00
  5. Step 5: Solve for x
    x = 15,087,687,056.00/141,129.84
  6. Step 6: Final answer
    x = 106,906.43

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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.