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Finding the Fourth Proportional to 208,887.92, 288,265.70 and 113,394.68

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Solution

The fourth proportional to 208,887.92, 288,265.70 and 113,394.68 is: 156,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,887.92 : 288,265.70 = 113,394.68 : x
  2. Step 2: Convert to fraction form
    208,887.92/288,265.70 = 113,394.68/x
  3. Step 3: Cross multiply
    208,887.92x = 288,265.70 × 113,394.68
  4. Step 4: Simplify right side
    208,887.92x = 32,687,796,239.50
  5. Step 5: Solve for x
    x = 32,687,796,239.50/208,887.92
  6. Step 6: Final answer
    x = 156,484.86

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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.