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Finding the Fourth Proportional to 56,882.60, 85,295.81 and 17,430.20

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Solution

The fourth proportional to 56,882.60, 85,295.81 and 17,430.20 is: 26,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,882.60 : 85,295.81 = 17,430.20 : x
  2. Step 2: Convert to fraction form
    56,882.60/85,295.81 = 17,430.20/x
  3. Step 3: Cross multiply
    56,882.60x = 85,295.81 × 17,430.20
  4. Step 4: Simplify right side
    56,882.60x = 1,486,722,644.56
  5. Step 5: Solve for x
    x = 1,486,722,644.56/56,882.60
  6. Step 6: Final answer
    x = 26,136.69

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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.