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Finding the Fourth Proportional to 58,589.78, 87,901.74 and 21,149

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Solution

The fourth proportional to 58,589.78, 87,901.74 and 21,149 is: 31,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,589.78 : 87,901.74 = 21,149 : x
  2. Step 2: Convert to fraction form
    58,589.78/87,901.74 = 21,149/x
  3. Step 3: Cross multiply
    58,589.78x = 87,901.74 × 21,149
  4. Step 4: Simplify right side
    58,589.78x = 1,859,033,899.26
  5. Step 5: Solve for x
    x = 1,859,033,899.26/58,589.78
  6. Step 6: Final answer
    x = 31,729.66

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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.