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Finding the Fourth Proportional to 91,879.80, 137,819.70 and 32,782.20

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Solution

The fourth proportional to 91,879.80, 137,819.70 and 32,782.20 is: 49,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,879.80 : 137,819.70 = 32,782.20 : x
  2. Step 2: Convert to fraction form
    91,879.80/137,819.70 = 32,782.20/x
  3. Step 3: Cross multiply
    91,879.80x = 137,819.70 × 32,782.20
  4. Step 4: Simplify right side
    91,879.80x = 4,518,032,969.34
  5. Step 5: Solve for x
    x = 4,518,032,969.34/91,879.80
  6. Step 6: Final answer
    x = 49,173.30

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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.