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Finding the Fourth Proportional to 57,938, 79,954.44 and 31,442

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Solution

The fourth proportional to 57,938, 79,954.44 and 31,442 is: 43,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,938 : 79,954.44 = 31,442 : x
  2. Step 2: Convert to fraction form
    57,938/79,954.44 = 31,442/x
  3. Step 3: Cross multiply
    57,938x = 79,954.44 × 31,442
  4. Step 4: Simplify right side
    57,938x = 2,513,927,502.48
  5. Step 5: Solve for x
    x = 2,513,927,502.48/57,938
  6. Step 6: Final answer
    x = 43,389.96

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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.