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Finding the Fourth Proportional to 65,458.48, 98,188.14 and 27,987

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Solution

The fourth proportional to 65,458.48, 98,188.14 and 27,987 is: 41,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.48 : 98,188.14 = 27,987 : x
  2. Step 2: Convert to fraction form
    65,458.48/98,188.14 = 27,987/x
  3. Step 3: Cross multiply
    65,458.48x = 98,188.14 × 27,987
  4. Step 4: Simplify right side
    65,458.48x = 2,747,991,474.18
  5. Step 5: Solve for x
    x = 2,747,991,474.18/65,458.48
  6. Step 6: Final answer
    x = 41,980.68

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1.5x scale

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.