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Finding the Fourth Proportional to 65,188.64, 97,798.24 and 20,207.68

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Solution

The fourth proportional to 65,188.64, 97,798.24 and 20,207.68 is: 30,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.64 : 97,798.24 = 20,207.68 : x
  2. Step 2: Convert to fraction form
    65,188.64/97,798.24 = 20,207.68/x
  3. Step 3: Cross multiply
    65,188.64x = 97,798.24 × 20,207.68
  4. Step 4: Simplify right side
    65,188.64x = 1,976,275,538.48
  5. Step 5: Solve for x
    x = 1,976,275,538.48/65,188.64
  6. Step 6: Final answer
    x = 30,316.26

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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.