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Finding the Fourth Proportional to 219,423.40, 329,135.10 and 61,678.60

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Solution

The fourth proportional to 219,423.40, 329,135.10 and 61,678.60 is: 92,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,423.40 : 329,135.10 = 61,678.60 : x
  2. Step 2: Convert to fraction form
    219,423.40/329,135.10 = 61,678.60/x
  3. Step 3: Cross multiply
    219,423.40x = 329,135.10 × 61,678.60
  4. Step 4: Simplify right side
    219,423.40x = 20,300,592,178.86
  5. Step 5: Solve for x
    x = 20,300,592,178.86/219,423.40
  6. Step 6: Final answer
    x = 92,517.90

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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.