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Finding the Fourth Proportional to 56,276.72, 84,393.90 and 22,978.97

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Solution

The fourth proportional to 56,276.72, 84,393.90 and 22,978.97 is: 34,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,276.72 : 84,393.90 = 22,978.97 : x
  2. Step 2: Convert to fraction form
    56,276.72/84,393.90 = 22,978.97/x
  3. Step 3: Cross multiply
    56,276.72x = 84,393.90 × 22,978.97
  4. Step 4: Simplify right side
    56,276.72x = 1,939,284,553.43
  5. Step 5: Solve for x
    x = 1,939,284,553.43/56,276.72
  6. Step 6: Final answer
    x = 34,459.80

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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.