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Finding the Fourth Proportional to 56,312.74, 84,469.14 and 18,865.90

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Solution

The fourth proportional to 56,312.74, 84,469.14 and 18,865.90 is: 28,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,312.74 : 84,469.14 = 18,865.90 : x
  2. Step 2: Convert to fraction form
    56,312.74/84,469.14 = 18,865.90/x
  3. Step 3: Cross multiply
    56,312.74x = 84,469.14 × 18,865.90
  4. Step 4: Simplify right side
    56,312.74x = 1,593,586,348.33
  5. Step 5: Solve for x
    x = 1,593,586,348.33/56,312.74
  6. Step 6: Final answer
    x = 28,298.86

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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.