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Finding the Fourth Proportional to 57,154.88, 78,871.95 and 31,660.22

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Solution

The fourth proportional to 57,154.88, 78,871.95 and 31,660.22 is: 43,690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,154.88 : 78,871.95 = 31,660.22 : x
  2. Step 2: Convert to fraction form
    57,154.88/78,871.95 = 31,660.22/x
  3. Step 3: Cross multiply
    57,154.88x = 78,871.95 × 31,660.22
  4. Step 4: Simplify right side
    57,154.88x = 2,497,103,288.83
  5. Step 5: Solve for x
    x = 2,497,103,288.83/57,154.88
  6. Step 6: Final answer
    x = 43,690.12

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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.