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Finding the Fourth Proportional to 57,074.40, 78,751.44 and 31,919.04

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Solution

The fourth proportional to 57,074.40, 78,751.44 and 31,919.04 is: 44,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,074.40 : 78,751.44 = 31,919.04 : x
  2. Step 2: Convert to fraction form
    57,074.40/78,751.44 = 31,919.04/x
  3. Step 3: Cross multiply
    57,074.40x = 78,751.44 × 31,919.04
  4. Step 4: Simplify right side
    57,074.40x = 2,513,670,363.42
  5. Step 5: Solve for x
    x = 2,513,670,363.42/57,074.40
  6. Step 6: Final answer
    x = 44,041.99

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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.