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Finding the Fourth Proportional to 129,419.80, 194,129.70 and 123,774.10

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Solution

The fourth proportional to 129,419.80, 194,129.70 and 123,774.10 is: 185,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,419.80 : 194,129.70 = 123,774.10 : x
  2. Step 2: Convert to fraction form
    129,419.80/194,129.70 = 123,774.10/x
  3. Step 3: Cross multiply
    129,419.80x = 194,129.70 × 123,774.10
  4. Step 4: Simplify right side
    129,419.80x = 24,028,228,900.77
  5. Step 5: Solve for x
    x = 24,028,228,900.77/129,419.80
  6. Step 6: Final answer
    x = 185,661.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.