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Finding the Fourth Proportional to 65,474.89, 98,159.34 and 20,473.09

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Solution

The fourth proportional to 65,474.89, 98,159.34 and 20,473.09 is: 30,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,474.89 : 98,159.34 = 20,473.09 : x
  2. Step 2: Convert to fraction form
    65,474.89/98,159.34 = 20,473.09/x
  3. Step 3: Cross multiply
    65,474.89x = 98,159.34 × 20,473.09
  4. Step 4: Simplify right side
    65,474.89x = 2,009,625,002.16
  5. Step 5: Solve for x
    x = 2,009,625,002.16/65,474.89
  6. Step 6: Final answer
    x = 30,693.06

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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.