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Finding the Fourth Proportional to 219,102.30, 328,629.15 and 61,346.70

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Solution

The fourth proportional to 219,102.30, 328,629.15 and 61,346.70 is: 92,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,102.30 : 328,629.15 = 61,346.70 : x
  2. Step 2: Convert to fraction form
    219,102.30/328,629.15 = 61,346.70/x
  3. Step 3: Cross multiply
    219,102.30x = 328,629.15 × 61,346.70
  4. Step 4: Simplify right side
    219,102.30x = 20,160,313,876.31
  5. Step 5: Solve for x
    x = 20,160,313,876.31/219,102.30
  6. Step 6: Final answer
    x = 92,013.25

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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.