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Finding the Fourth Proportional to 129,684.39, 178,965.82 and 73,095.77

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Solution

The fourth proportional to 129,684.39, 178,965.82 and 73,095.77 is: 100,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,684.39 : 178,965.82 = 73,095.77 : x
  2. Step 2: Convert to fraction form
    129,684.39/178,965.82 = 73,095.77/x
  3. Step 3: Cross multiply
    129,684.39x = 178,965.82 × 73,095.77
  4. Step 4: Simplify right side
    129,684.39x = 13,081,643,521.75
  5. Step 5: Solve for x
    x = 13,081,643,521.75/129,684.39
  6. Step 6: Final answer
    x = 100,872.92

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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.