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Finding the Fourth Proportional to 30,149.80, 45,225.07 and 20,787.30

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Solution

The fourth proportional to 30,149.80, 45,225.07 and 20,787.30 is: 31,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.80 : 45,225.07 = 20,787.30 : x
  2. Step 2: Convert to fraction form
    30,149.80/45,225.07 = 20,787.30/x
  3. Step 3: Cross multiply
    30,149.80x = 45,225.07 × 20,787.30
  4. Step 4: Simplify right side
    30,149.80x = 940,107,045.64
  5. Step 5: Solve for x
    x = 940,107,045.64/30,149.80
  6. Step 6: Final answer
    x = 31,181.21

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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.