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Finding the Fourth Proportional to 65,459.48, 98,189.64 and 27,988

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Solution

The fourth proportional to 65,459.48, 98,189.64 and 27,988 is: 41,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,459.48 : 98,189.64 = 27,988 : x
  2. Step 2: Convert to fraction form
    65,459.48/98,189.64 = 27,988/x
  3. Step 3: Cross multiply
    65,459.48x = 98,189.64 × 27,988
  4. Step 4: Simplify right side
    65,459.48x = 2,748,131,644.32
  5. Step 5: Solve for x
    x = 2,748,131,644.32/65,459.48
  6. Step 6: Final answer
    x = 41,982.18

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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.