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Finding the Fourth Proportional to 65,353.01, 98,020.25 and 20,974.02

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Solution

The fourth proportional to 65,353.01, 98,020.25 and 20,974.02 is: 31,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,353.01 : 98,020.25 = 20,974.02 : x
  2. Step 2: Convert to fraction form
    65,353.01/98,020.25 = 20,974.02/x
  3. Step 3: Cross multiply
    65,353.01x = 98,020.25 × 20,974.02
  4. Step 4: Simplify right side
    65,353.01x = 2,055,878,683.91
  5. Step 5: Solve for x
    x = 2,055,878,683.91/65,353.01
  6. Step 6: Final answer
    x = 31,458.06

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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.