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Finding the Fourth Proportional to 57,042.40, 78,715.92 and 31,549

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Solution

The fourth proportional to 57,042.40, 78,715.92 and 31,549 is: 43,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,042.40 : 78,715.92 = 31,549 : x
  2. Step 2: Convert to fraction form
    57,042.40/78,715.92 = 31,549/x
  3. Step 3: Cross multiply
    57,042.40x = 78,715.92 × 31,549
  4. Step 4: Simplify right side
    57,042.40x = 2,483,408,560.08
  5. Step 5: Solve for x
    x = 2,483,408,560.08/57,042.40
  6. Step 6: Final answer
    x = 43,536.19

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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.