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Finding the Fourth Proportional to 65,240.34, 97,859.99 and 38,769.78

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Solution

The fourth proportional to 65,240.34, 97,859.99 and 38,769.78 is: 58,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240.34 : 97,859.99 = 38,769.78 : x
  2. Step 2: Convert to fraction form
    65,240.34/97,859.99 = 38,769.78/x
  3. Step 3: Cross multiply
    65,240.34x = 97,859.99 × 38,769.78
  4. Step 4: Simplify right side
    65,240.34x = 3,794,010,089.25
  5. Step 5: Solve for x
    x = 3,794,010,089.25/65,240.34
  6. Step 6: Final answer
    x = 58,154.36

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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.