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Finding the Fourth Proportional to 219,731.13, 329,487.65 and 69,951.90

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Solution

The fourth proportional to 219,731.13, 329,487.65 and 69,951.90 is: 104,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,731.13 : 329,487.65 = 69,951.90 : x
  2. Step 2: Convert to fraction form
    219,731.13/329,487.65 = 69,951.90/x
  3. Step 3: Cross multiply
    219,731.13x = 329,487.65 × 69,951.90
  4. Step 4: Simplify right side
    219,731.13x = 23,048,288,292.17
  5. Step 5: Solve for x
    x = 23,048,288,292.17/219,731.13
  6. Step 6: Final answer
    x = 104,893.14

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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.