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Finding the Fourth Proportional to 219,446.55, 329,251.80 and 86,419.53

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Solution

The fourth proportional to 219,446.55, 329,251.80 and 86,419.53 is: 129,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,446.55 : 329,251.80 = 86,419.53 : x
  2. Step 2: Convert to fraction form
    219,446.55/329,251.80 = 86,419.53/x
  3. Step 3: Cross multiply
    219,446.55x = 329,251.80 × 86,419.53
  4. Step 4: Simplify right side
    219,446.55x = 28,453,785,807.65
  5. Step 5: Solve for x
    x = 28,453,785,807.65/219,446.55
  6. Step 6: Final answer
    x = 129,661.58

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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.