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Finding the Fourth Proportional to 208,814, 288,163.52 and 113,320.72

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Solution

The fourth proportional to 208,814, 288,163.52 and 113,320.72 is: 156,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,814 : 288,163.52 = 113,320.72 : x
  2. Step 2: Convert to fraction form
    208,814/288,163.52 = 113,320.72/x
  3. Step 3: Cross multiply
    208,814x = 288,163.52 × 113,320.72
  4. Step 4: Simplify right side
    208,814x = 32,654,897,564.13
  5. Step 5: Solve for x
    x = 32,654,897,564.13/208,814
  6. Step 6: Final answer
    x = 156,382.70

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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.