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Finding the Fourth Proportional to 208,555.20, 312,832.80 and 129,823.20

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Solution

The fourth proportional to 208,555.20, 312,832.80 and 129,823.20 is: 194,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,555.20 : 312,832.80 = 129,823.20 : x
  2. Step 2: Convert to fraction form
    208,555.20/312,832.80 = 129,823.20/x
  3. Step 3: Cross multiply
    208,555.20x = 312,832.80 × 129,823.20
  4. Step 4: Simplify right side
    208,555.20x = 40,612,955,160.96
  5. Step 5: Solve for x
    x = 40,612,955,160.96/208,555.20
  6. Step 6: Final answer
    x = 194,734.80

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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.