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Finding the Fourth Proportional to 30,581.70, 45,872.55 and 29,415.30

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Solution

The fourth proportional to 30,581.70, 45,872.55 and 29,415.30 is: 44,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.70 : 45,872.55 = 29,415.30 : x
  2. Step 2: Convert to fraction form
    30,581.70/45,872.55 = 29,415.30/x
  3. Step 3: Cross multiply
    30,581.70x = 45,872.55 × 29,415.30
  4. Step 4: Simplify right side
    30,581.70x = 1,349,354,820.02
  5. Step 5: Solve for x
    x = 1,349,354,820.02/30,581.70
  6. Step 6: Final answer
    x = 44,122.95

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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.