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Finding the Fourth Proportional to 129,326.87, 178,369.96 and 84,019.44

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Solution

The fourth proportional to 129,326.87, 178,369.96 and 84,019.44 is: 115,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,326.87 : 178,369.96 = 84,019.44 : x
  2. Step 2: Convert to fraction form
    129,326.87/178,369.96 = 84,019.44/x
  3. Step 3: Cross multiply
    129,326.87x = 178,369.96 × 84,019.44
  4. Step 4: Simplify right side
    129,326.87x = 14,986,543,731.93
  5. Step 5: Solve for x
    x = 14,986,543,731.93/129,326.87
  6. Step 6: Final answer
    x = 115,881.13

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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.