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Finding the Fourth Proportional to 56,644.65, 78,167.56 and 31,150.80

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Solution

The fourth proportional to 56,644.65, 78,167.56 and 31,150.80 is: 42,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,644.65 : 78,167.56 = 31,150.80 : x
  2. Step 2: Convert to fraction form
    56,644.65/78,167.56 = 31,150.80/x
  3. Step 3: Cross multiply
    56,644.65x = 78,167.56 × 31,150.80
  4. Step 4: Simplify right side
    56,644.65x = 2,434,982,028.05
  5. Step 5: Solve for x
    x = 2,434,982,028.05/56,644.65
  6. Step 6: Final answer
    x = 42,986.97

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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.