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Finding the Fourth Proportional to 57,002.30, 85,528.04 and 30,701.78

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Solution

The fourth proportional to 57,002.30, 85,528.04 and 30,701.78 is: 46,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,002.30 : 85,528.04 = 30,701.78 : x
  2. Step 2: Convert to fraction form
    57,002.30/85,528.04 = 30,701.78/x
  3. Step 3: Cross multiply
    57,002.30x = 85,528.04 × 30,701.78
  4. Step 4: Simplify right side
    57,002.30x = 2,625,863,067.91
  5. Step 5: Solve for x
    x = 2,625,863,067.91/57,002.30
  6. Step 6: Final answer
    x = 46,065.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.