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Finding the Fourth Proportional to 56,978.20, 78,613.90 and 32,777.90

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Solution

The fourth proportional to 56,978.20, 78,613.90 and 32,777.90 is: 45,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,978.20 : 78,613.90 = 32,777.90 : x
  2. Step 2: Convert to fraction form
    56,978.20/78,613.90 = 32,777.90/x
  3. Step 3: Cross multiply
    56,978.20x = 78,613.90 × 32,777.90
  4. Step 4: Simplify right side
    56,978.20x = 2,576,798,552.81
  5. Step 5: Solve for x
    x = 2,576,798,552.81/56,978.20
  6. Step 6: Final answer
    x = 45,224.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.