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Finding the Fourth Proportional to 205,878.76, 284,290 and 129,525.12

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Solution

The fourth proportional to 205,878.76, 284,290 and 129,525.12 is: 178,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,878.76 : 284,290 = 129,525.12 : x
  2. Step 2: Convert to fraction form
    205,878.76/284,290 = 129,525.12/x
  3. Step 3: Cross multiply
    205,878.76x = 284,290 × 129,525.12
  4. Step 4: Simplify right side
    205,878.76x = 36,822,696,364.80
  5. Step 5: Solve for x
    x = 36,822,696,364.80/205,878.76
  6. Step 6: Final answer
    x = 178,856.22

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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.