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Finding the Fourth Proportional to 65,491.98, 98,090.27 and 45,858.20

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Solution

The fourth proportional to 65,491.98, 98,090.27 and 45,858.20 is: 68,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,491.98 : 98,090.27 = 45,858.20 : x
  2. Step 2: Convert to fraction form
    65,491.98/98,090.27 = 45,858.20/x
  3. Step 3: Cross multiply
    65,491.98x = 98,090.27 × 45,858.20
  4. Step 4: Simplify right side
    65,491.98x = 4,498,242,499.97
  5. Step 5: Solve for x
    x = 4,498,242,499.97/65,491.98
  6. Step 6: Final answer
    x = 68,683.87

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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.