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Finding the Fourth Proportional to 65,487.80, 98,231.70 and 47,991.80

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Solution

The fourth proportional to 65,487.80, 98,231.70 and 47,991.80 is: 71,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,487.80 : 98,231.70 = 47,991.80 : x
  2. Step 2: Convert to fraction form
    65,487.80/98,231.70 = 47,991.80/x
  3. Step 3: Cross multiply
    65,487.80x = 98,231.70 × 47,991.80
  4. Step 4: Simplify right side
    65,487.80x = 4,714,316,100.06
  5. Step 5: Solve for x
    x = 4,714,316,100.06/65,487.80
  6. Step 6: Final answer
    x = 71,987.70

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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.