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Finding the Fourth Proportional to 137,103.59, 189,212.60 and 76,679.85

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Solution

The fourth proportional to 137,103.59, 189,212.60 and 76,679.85 is: 105,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,103.59 : 189,212.60 = 76,679.85 : x
  2. Step 2: Convert to fraction form
    137,103.59/189,212.60 = 76,679.85/x
  3. Step 3: Cross multiply
    137,103.59x = 189,212.60 × 76,679.85
  4. Step 4: Simplify right side
    137,103.59x = 14,508,793,402.71
  5. Step 5: Solve for x
    x = 14,508,793,402.71/137,103.59
  6. Step 6: Final answer
    x = 105,823.59

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1.5x scale

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.