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Finding the Fourth Proportional to 65,109.20, 97,663.80 and 15,861.20

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Solution

The fourth proportional to 65,109.20, 97,663.80 and 15,861.20 is: 23,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,109.20 : 97,663.80 = 15,861.20 : x
  2. Step 2: Convert to fraction form
    65,109.20/97,663.80 = 15,861.20/x
  3. Step 3: Cross multiply
    65,109.20x = 97,663.80 × 15,861.20
  4. Step 4: Simplify right side
    65,109.20x = 1,549,065,064.56
  5. Step 5: Solve for x
    x = 1,549,065,064.56/65,109.20
  6. Step 6: Final answer
    x = 23,791.80

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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.