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Finding the Fourth Proportional to 56,952.26, 85,379.78 and 40,259.78

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Solution

The fourth proportional to 56,952.26, 85,379.78 and 40,259.78 is: 60,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,952.26 : 85,379.78 = 40,259.78 : x
  2. Step 2: Convert to fraction form
    56,952.26/85,379.78 = 40,259.78/x
  3. Step 3: Cross multiply
    56,952.26x = 85,379.78 × 40,259.78
  4. Step 4: Simplify right side
    56,952.26x = 3,437,371,159.25
  5. Step 5: Solve for x
    x = 3,437,371,159.25/56,952.26
  6. Step 6: Final answer
    x = 60,355.31

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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.