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Finding the Fourth Proportional to 57,127, 78,832.36 and 31,284.88

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Solution

The fourth proportional to 57,127, 78,832.36 and 31,284.88 is: 43,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,127 : 78,832.36 = 31,284.88 : x
  2. Step 2: Convert to fraction form
    57,127/78,832.36 = 31,284.88/x
  3. Step 3: Cross multiply
    57,127x = 78,832.36 × 31,284.88
  4. Step 4: Simplify right side
    57,127x = 2,466,260,922.72
  5. Step 5: Solve for x
    x = 2,466,260,922.72/57,127
  6. Step 6: Final answer
    x = 43,171.55

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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.