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Finding the Fourth Proportional to 57,074.50, 78,763.08 and 31,924

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Solution

The fourth proportional to 57,074.50, 78,763.08 and 31,924 is: 44,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,074.50 : 78,763.08 = 31,924 : x
  2. Step 2: Convert to fraction form
    57,074.50/78,763.08 = 31,924/x
  3. Step 3: Cross multiply
    57,074.50x = 78,763.08 × 31,924
  4. Step 4: Simplify right side
    57,074.50x = 2,514,432,565.92
  5. Step 5: Solve for x
    x = 2,514,432,565.92/57,074.50
  6. Step 6: Final answer
    x = 44,055.27

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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.