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Finding the Fourth Proportional to 57,425.70, 86,138.60 and 21,878.76

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Solution

The fourth proportional to 57,425.70, 86,138.60 and 21,878.76 is: 32,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,425.70 : 86,138.60 = 21,878.76 : x
  2. Step 2: Convert to fraction form
    57,425.70/86,138.60 = 21,878.76/x
  3. Step 3: Cross multiply
    57,425.70x = 86,138.60 × 21,878.76
  4. Step 4: Simplify right side
    57,425.70x = 1,884,605,756.14
  5. Step 5: Solve for x
    x = 1,884,605,756.14/57,425.70
  6. Step 6: Final answer
    x = 32,818.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.