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Finding the Fourth Proportional to 65,257.90, 97,822.05 and 30,136.30

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Solution

The fourth proportional to 65,257.90, 97,822.05 and 30,136.30 is: 45,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,257.90 : 97,822.05 = 30,136.30 : x
  2. Step 2: Convert to fraction form
    65,257.90/97,822.05 = 30,136.30/x
  3. Step 3: Cross multiply
    65,257.90x = 97,822.05 × 30,136.30
  4. Step 4: Simplify right side
    65,257.90x = 2,947,994,645.42
  5. Step 5: Solve for x
    x = 2,947,994,645.42/65,257.90
  6. Step 6: Final answer
    x = 45,174.53

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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.