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Finding the Fourth Proportional to 57,164.80, 78,891.60 and 34,509.36

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Solution

The fourth proportional to 57,164.80, 78,891.60 and 34,509.36 is: 47,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,164.80 : 78,891.60 = 34,509.36 : x
  2. Step 2: Convert to fraction form
    57,164.80/78,891.60 = 34,509.36/x
  3. Step 3: Cross multiply
    57,164.80x = 78,891.60 × 34,509.36
  4. Step 4: Simplify right side
    57,164.80x = 2,722,498,625.38
  5. Step 5: Solve for x
    x = 2,722,498,625.38/57,164.80
  6. Step 6: Final answer
    x = 47,625.44

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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.