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Finding the Fourth Proportional to 205,531.80, 308,224.02 and 87,211.32

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Solution

The fourth proportional to 205,531.80, 308,224.02 and 87,211.32 is: 130,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,531.80 : 308,224.02 = 87,211.32 : x
  2. Step 2: Convert to fraction form
    205,531.80/308,224.02 = 87,211.32/x
  3. Step 3: Cross multiply
    205,531.80x = 308,224.02 × 87,211.32
  4. Step 4: Simplify right side
    205,531.80x = 26,880,623,639.91
  5. Step 5: Solve for x
    x = 26,880,623,639.91/205,531.80
  6. Step 6: Final answer
    x = 130,785.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.