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Finding the Fourth Proportional to 57,761, 79,710.42 and 31,265

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Solution

The fourth proportional to 57,761, 79,710.42 and 31,265 is: 43,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,761 : 79,710.42 = 31,265 : x
  2. Step 2: Convert to fraction form
    57,761/79,710.42 = 31,265/x
  3. Step 3: Cross multiply
    57,761x = 79,710.42 × 31,265
  4. Step 4: Simplify right side
    57,761x = 2,492,146,281.30
  5. Step 5: Solve for x
    x = 2,492,146,281.30/57,761
  6. Step 6: Final answer
    x = 43,145.83

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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.