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Finding the Fourth Proportional to 65,242.80, 97,854.60 and 18,500.40

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Solution

The fourth proportional to 65,242.80, 97,854.60 and 18,500.40 is: 27,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.80 : 97,854.60 = 18,500.40 : x
  2. Step 2: Convert to fraction form
    65,242.80/97,854.60 = 18,500.40/x
  3. Step 3: Cross multiply
    65,242.80x = 97,854.60 × 18,500.40
  4. Step 4: Simplify right side
    65,242.80x = 1,810,349,241.84
  5. Step 5: Solve for x
    x = 1,810,349,241.84/65,242.80
  6. Step 6: Final answer
    x = 27,747.88

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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.