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Finding the Fourth Proportional to 65,242.54, 97,879.13 and 20,261.60

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Solution

The fourth proportional to 65,242.54, 97,879.13 and 20,261.60 is: 30,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.54 : 97,879.13 = 20,261.60 : x
  2. Step 2: Convert to fraction form
    65,242.54/97,879.13 = 20,261.60/x
  3. Step 3: Cross multiply
    65,242.54x = 97,879.13 × 20,261.60
  4. Step 4: Simplify right side
    65,242.54x = 1,983,187,780.41
  5. Step 5: Solve for x
    x = 1,983,187,780.41/65,242.54
  6. Step 6: Final answer
    x = 30,397.16

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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.