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Finding the Fourth Proportional to 58,488.86, 87,767.85 and 21,578.78

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Solution

The fourth proportional to 58,488.86, 87,767.85 and 21,578.78 is: 32,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,488.86 : 87,767.85 = 21,578.78 : x
  2. Step 2: Convert to fraction form
    58,488.86/87,767.85 = 21,578.78/x
  3. Step 3: Cross multiply
    58,488.86x = 87,767.85 × 21,578.78
  4. Step 4: Simplify right side
    58,488.86x = 1,893,923,126.22
  5. Step 5: Solve for x
    x = 1,893,923,126.22/58,488.86
  6. Step 6: Final answer
    x = 32,380.92

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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.