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Finding the Fourth Proportional to 137,139.12, 189,269.50 and 76,713.12

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Solution

The fourth proportional to 137,139.12, 189,269.50 and 76,713.12 is: 105,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,139.12 : 189,269.50 = 76,713.12 : x
  2. Step 2: Convert to fraction form
    137,139.12/189,269.50 = 76,713.12/x
  3. Step 3: Cross multiply
    137,139.12x = 189,269.50 × 76,713.12
  4. Step 4: Simplify right side
    137,139.12x = 14,519,453,865.84
  5. Step 5: Solve for x
    x = 14,519,453,865.84/137,139.12
  6. Step 6: Final answer
    x = 105,873.90

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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.