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Finding the Fourth Proportional to 208,951.32, 288,344.76 and 113,455.86

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Solution

The fourth proportional to 208,951.32, 288,344.76 and 113,455.86 is: 156,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,951.32 : 288,344.76 = 113,455.86 : x
  2. Step 2: Convert to fraction form
    208,951.32/288,344.76 = 113,455.86/x
  3. Step 3: Cross multiply
    208,951.32x = 288,344.76 × 113,455.86
  4. Step 4: Simplify right side
    208,951.32x = 32,714,402,722.29
  5. Step 5: Solve for x
    x = 32,714,402,722.29/208,951.32
  6. Step 6: Final answer
    x = 156,564.71

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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.