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Finding the Fourth Proportional to 208,965.61, 288,373.13 and 113,473.90

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Solution

The fourth proportional to 208,965.61, 288,373.13 and 113,473.90 is: 156,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,965.61 : 288,373.13 = 113,473.90 : x
  2. Step 2: Convert to fraction form
    208,965.61/288,373.13 = 113,473.90/x
  3. Step 3: Cross multiply
    208,965.61x = 288,373.13 × 113,473.90
  4. Step 4: Simplify right side
    208,965.61x = 32,722,823,716.31
  5. Step 5: Solve for x
    x = 32,722,823,716.31/208,965.61
  6. Step 6: Final answer
    x = 156,594.30

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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.