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Finding the Fourth Proportional to 176,648.20, 243,819.18 and 100,212.86

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Solution

The fourth proportional to 176,648.20, 243,819.18 and 100,212.86 is: 138,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,648.20 : 243,819.18 = 100,212.86 : x
  2. Step 2: Convert to fraction form
    176,648.20/243,819.18 = 100,212.86/x
  3. Step 3: Cross multiply
    176,648.20x = 243,819.18 × 100,212.86
  4. Step 4: Simplify right side
    176,648.20x = 24,433,817,960.20
  5. Step 5: Solve for x
    x = 24,433,817,960.20/176,648.20
  6. Step 6: Final answer
    x = 138,319.09

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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.