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Finding the Fourth Proportional to 80,514.70, 120,772.05 and 61,830.70

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Solution

The fourth proportional to 80,514.70, 120,772.05 and 61,830.70 is: 92,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,514.70 : 120,772.05 = 61,830.70 : x
  2. Step 2: Convert to fraction form
    80,514.70/120,772.05 = 61,830.70/x
  3. Step 3: Cross multiply
    80,514.70x = 120,772.05 × 61,830.70
  4. Step 4: Simplify right side
    80,514.70x = 7,467,420,391.94
  5. Step 5: Solve for x
    x = 7,467,420,391.94/80,514.70
  6. Step 6: Final answer
    x = 92,746.05

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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.