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Finding the Fourth Proportional to 57,639.78, 79,542.90 and 31,143.78

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Solution

The fourth proportional to 57,639.78, 79,542.90 and 31,143.78 is: 42,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,639.78 : 79,542.90 = 31,143.78 : x
  2. Step 2: Convert to fraction form
    57,639.78/79,542.90 = 31,143.78/x
  3. Step 3: Cross multiply
    57,639.78x = 79,542.90 × 31,143.78
  4. Step 4: Simplify right side
    57,639.78x = 2,477,266,578.16
  5. Step 5: Solve for x
    x = 2,477,266,578.16/57,639.78
  6. Step 6: Final answer
    x = 42,978.42

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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.