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Finding the Fourth Proportional to 219,614.10, 329,421.15 and 130,821.90

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Solution

The fourth proportional to 219,614.10, 329,421.15 and 130,821.90 is: 196,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,614.10 : 329,421.15 = 130,821.90 : x
  2. Step 2: Convert to fraction form
    219,614.10/329,421.15 = 130,821.90/x
  3. Step 3: Cross multiply
    219,614.10x = 329,421.15 × 130,821.90
  4. Step 4: Simplify right side
    219,614.10x = 43,095,500,743.19
  5. Step 5: Solve for x
    x = 43,095,500,743.19/219,614.10
  6. Step 6: Final answer
    x = 196,232.85

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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.