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Finding the Fourth Proportional to 219,863.70, 329,904.90 and 86,748.30

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Solution

The fourth proportional to 219,863.70, 329,904.90 and 86,748.30 is: 130,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,863.70 : 329,904.90 = 86,748.30 : x
  2. Step 2: Convert to fraction form
    219,863.70/329,904.90 = 86,748.30/x
  3. Step 3: Cross multiply
    219,863.70x = 329,904.90 × 86,748.30
  4. Step 4: Simplify right side
    219,863.70x = 28,618,689,236.67
  5. Step 5: Solve for x
    x = 28,618,689,236.67/219,863.70
  6. Step 6: Final answer
    x = 130,165.59

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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.