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Finding the Fourth Proportional to 57,052.84, 78,764 and 34,397.68

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Solution

The fourth proportional to 57,052.84, 78,764 and 34,397.68 is: 47,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,052.84 : 78,764 = 34,397.68 : x
  2. Step 2: Convert to fraction form
    57,052.84/78,764 = 34,397.68/x
  3. Step 3: Cross multiply
    57,052.84x = 78,764 × 34,397.68
  4. Step 4: Simplify right side
    57,052.84x = 2,709,298,867.52
  5. Step 5: Solve for x
    x = 2,709,298,867.52/57,052.84
  6. Step 6: Final answer
    x = 47,487.54

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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.