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Finding the Fourth Proportional to 208,892.64, 288,269.92 and 113,399.28

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Solution

The fourth proportional to 208,892.64, 288,269.92 and 113,399.28 is: 156,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,892.64 : 288,269.92 = 113,399.28 : x
  2. Step 2: Convert to fraction form
    208,892.64/288,269.92 = 113,399.28/x
  3. Step 3: Cross multiply
    208,892.64x = 288,269.92 × 113,399.28
  4. Step 4: Simplify right side
    208,892.64x = 32,689,601,373.66
  5. Step 5: Solve for x
    x = 32,689,601,373.66/208,892.64
  6. Step 6: Final answer
    x = 156,489.96

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1.5x scale

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.