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Finding the Fourth Proportional to 129,870.60, 194,805.90 and 83,214.60

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Solution

The fourth proportional to 129,870.60, 194,805.90 and 83,214.60 is: 124,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,870.60 : 194,805.90 = 83,214.60 : x
  2. Step 2: Convert to fraction form
    129,870.60/194,805.90 = 83,214.60/x
  3. Step 3: Cross multiply
    129,870.60x = 194,805.90 × 83,214.60
  4. Step 4: Simplify right side
    129,870.60x = 16,210,695,046.14
  5. Step 5: Solve for x
    x = 16,210,695,046.14/129,870.60
  6. Step 6: Final answer
    x = 124,821.90

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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.