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Finding the Fourth Proportional to 208,580.87, 287,842.23 and 113,087.61

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Solution

The fourth proportional to 208,580.87, 287,842.23 and 113,087.61 is: 156,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,580.87 : 287,842.23 = 113,087.61 : x
  2. Step 2: Convert to fraction form
    208,580.87/287,842.23 = 113,087.61/x
  3. Step 3: Cross multiply
    208,580.87x = 287,842.23 × 113,087.61
  4. Step 4: Simplify right side
    208,580.87x = 32,551,389,847.77
  5. Step 5: Solve for x
    x = 32,551,389,847.77/208,580.87
  6. Step 6: Final answer
    x = 156,061.24

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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.