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Finding the Fourth Proportional to 65,489, 98,241.74 and 25,508.89

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Solution

The fourth proportional to 65,489, 98,241.74 and 25,508.89 is: 38,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,489 : 98,241.74 = 25,508.89 : x
  2. Step 2: Convert to fraction form
    65,489/98,241.74 = 25,508.89/x
  3. Step 3: Cross multiply
    65,489x = 98,241.74 × 25,508.89
  4. Step 4: Simplify right side
    65,489x = 2,506,037,120.32
  5. Step 5: Solve for x
    x = 2,506,037,120.32/65,489
  6. Step 6: Final answer
    x = 38,266.54

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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.