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Finding the Fourth Proportional to 57,169.80, 78,894.36 and 31,328.24

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Solution

The fourth proportional to 57,169.80, 78,894.36 and 31,328.24 is: 43,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,169.80 : 78,894.36 = 31,328.24 : x
  2. Step 2: Convert to fraction form
    57,169.80/78,894.36 = 31,328.24/x
  3. Step 3: Cross multiply
    57,169.80x = 78,894.36 × 31,328.24
  4. Step 4: Simplify right side
    57,169.80x = 2,471,621,050.25
  5. Step 5: Solve for x
    x = 2,471,621,050.25/57,169.80
  6. Step 6: Final answer
    x = 43,232.98

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1.5x scale

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.