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Finding the Fourth Proportional to 56,876.88, 85,344.12 and 38,370

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Solution

The fourth proportional to 56,876.88, 85,344.12 and 38,370 is: 57,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,876.88 : 85,344.12 = 38,370 : x
  2. Step 2: Convert to fraction form
    56,876.88/85,344.12 = 38,370/x
  3. Step 3: Cross multiply
    56,876.88x = 85,344.12 × 38,370
  4. Step 4: Simplify right side
    56,876.88x = 3,274,653,884.40
  5. Step 5: Solve for x
    x = 3,274,653,884.40/56,876.88
  6. Step 6: Final answer
    x = 57,574.43

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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.