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Finding the Fourth Proportional to 219,081.40, 328,767.90 and 124,311.40

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Solution

The fourth proportional to 219,081.40, 328,767.90 and 124,311.40 is: 186,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,081.40 : 328,767.90 = 124,311.40 : x
  2. Step 2: Convert to fraction form
    219,081.40/328,767.90 = 124,311.40/x
  3. Step 3: Cross multiply
    219,081.40x = 328,767.90 × 124,311.40
  4. Step 4: Simplify right side
    219,081.40x = 40,869,597,924.06
  5. Step 5: Solve for x
    x = 40,869,597,924.06/219,081.40
  6. Step 6: Final answer
    x = 186,549.83

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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.