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Finding the Fourth Proportional to 126,894.60, 175,121.64 and 72,462.84

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Solution

The fourth proportional to 126,894.60, 175,121.64 and 72,462.84 is: 100,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,894.60 : 175,121.64 = 72,462.84 : x
  2. Step 2: Convert to fraction form
    126,894.60/175,121.64 = 72,462.84/x
  3. Step 3: Cross multiply
    126,894.60x = 175,121.64 × 72,462.84
  4. Step 4: Simplify right side
    126,894.60x = 12,689,811,379.86
  5. Step 5: Solve for x
    x = 12,689,811,379.86/126,894.60
  6. Step 6: Final answer
    x = 100,002.77

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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.