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Finding the Fourth Proportional to 65,123.75, 97,684.56 and 20,749.90

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Solution

The fourth proportional to 65,123.75, 97,684.56 and 20,749.90 is: 31,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123.75 : 97,684.56 = 20,749.90 : x
  2. Step 2: Convert to fraction form
    65,123.75/97,684.56 = 20,749.90/x
  3. Step 3: Cross multiply
    65,123.75x = 97,684.56 × 20,749.90
  4. Step 4: Simplify right side
    65,123.75x = 2,026,944,747.79
  5. Step 5: Solve for x
    x = 2,026,944,747.79/65,123.75
  6. Step 6: Final answer
    x = 31,124.51

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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.