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Finding the Fourth Proportional to 80,602.80, 120,904.20 and 31,354.80

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Solution

The fourth proportional to 80,602.80, 120,904.20 and 31,354.80 is: 47,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,602.80 : 120,904.20 = 31,354.80 : x
  2. Step 2: Convert to fraction form
    80,602.80/120,904.20 = 31,354.80/x
  3. Step 3: Cross multiply
    80,602.80x = 120,904.20 × 31,354.80
  4. Step 4: Simplify right side
    80,602.80x = 3,790,927,010.16
  5. Step 5: Solve for x
    x = 3,790,927,010.16/80,602.80
  6. Step 6: Final answer
    x = 47,032.20

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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.