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Finding the Fourth Proportional to 57,698.80, 86,548.20 and 31,454.80

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Solution

The fourth proportional to 57,698.80, 86,548.20 and 31,454.80 is: 47,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,698.80 : 86,548.20 = 31,454.80 : x
  2. Step 2: Convert to fraction form
    57,698.80/86,548.20 = 31,454.80/x
  3. Step 3: Cross multiply
    57,698.80x = 86,548.20 × 31,454.80
  4. Step 4: Simplify right side
    57,698.80x = 2,722,356,321.36
  5. Step 5: Solve for x
    x = 2,722,356,321.36/57,698.80
  6. Step 6: Final answer
    x = 47,182.20

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1.5x scale

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.