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Finding the Fourth Proportional to 65,322.60, 98,000.10 and 18,575.40

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Solution

The fourth proportional to 65,322.60, 98,000.10 and 18,575.40 is: 27,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,322.60 : 98,000.10 = 18,575.40 : x
  2. Step 2: Convert to fraction form
    65,322.60/98,000.10 = 18,575.40/x
  3. Step 3: Cross multiply
    65,322.60x = 98,000.10 × 18,575.40
  4. Step 4: Simplify right side
    65,322.60x = 1,820,391,057.54
  5. Step 5: Solve for x
    x = 1,820,391,057.54/65,322.60
  6. Step 6: Final answer
    x = 27,867.71

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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.