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Finding the Fourth Proportional to 206,943.75, 310,155.93 and 88,475.85

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Solution

The fourth proportional to 206,943.75, 310,155.93 and 88,475.85 is: 132,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,943.75 : 310,155.93 = 88,475.85 : x
  2. Step 2: Convert to fraction form
    206,943.75/310,155.93 = 88,475.85/x
  3. Step 3: Cross multiply
    206,943.75x = 310,155.93 × 88,475.85
  4. Step 4: Simplify right side
    206,943.75x = 27,441,309,539.29
  5. Step 5: Solve for x
    x = 27,441,309,539.29/206,943.75
  6. Step 6: Final answer
    x = 132,602.75

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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.