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Finding the Fourth Proportional to 180,471.90, 270,707.85 and 91,898.40

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Solution

The fourth proportional to 180,471.90, 270,707.85 and 91,898.40 is: 137,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,471.90 : 270,707.85 = 91,898.40 : x
  2. Step 2: Convert to fraction form
    180,471.90/270,707.85 = 91,898.40/x
  3. Step 3: Cross multiply
    180,471.90x = 270,707.85 × 91,898.40
  4. Step 4: Simplify right side
    180,471.90x = 24,877,618,282.44
  5. Step 5: Solve for x
    x = 24,877,618,282.44/180,471.90
  6. Step 6: Final answer
    x = 137,847.60

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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.