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Finding the Fourth Proportional to 57,762, 79,711.56 and 31,266

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Solution

The fourth proportional to 57,762, 79,711.56 and 31,266 is: 43,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762 : 79,711.56 = 31,266 : x
  2. Step 2: Convert to fraction form
    57,762/79,711.56 = 31,266/x
  3. Step 3: Cross multiply
    57,762x = 79,711.56 × 31,266
  4. Step 4: Simplify right side
    57,762x = 2,492,261,634.96
  5. Step 5: Solve for x
    x = 2,492,261,634.96/57,762
  6. Step 6: Final answer
    x = 43,147.08

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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.