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Finding the Fourth Proportional to 57,740.97, 79,678.56 and 31,898.37

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Solution

The fourth proportional to 57,740.97, 79,678.56 and 31,898.37 is: 44,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,740.97 : 79,678.56 = 31,898.37 : x
  2. Step 2: Convert to fraction form
    57,740.97/79,678.56 = 31,898.37/x
  3. Step 3: Cross multiply
    57,740.97x = 79,678.56 × 31,898.37
  4. Step 4: Simplify right side
    57,740.97x = 2,541,616,187.95
  5. Step 5: Solve for x
    x = 2,541,616,187.95/57,740.97
  6. Step 6: Final answer
    x = 44,017.55

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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.