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Finding the Fourth Proportional to 65,375.19, 98,041.32 and 20,991.42

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Solution

The fourth proportional to 65,375.19, 98,041.32 and 20,991.42 is: 31,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,375.19 : 98,041.32 = 20,991.42 : x
  2. Step 2: Convert to fraction form
    65,375.19/98,041.32 = 20,991.42/x
  3. Step 3: Cross multiply
    65,375.19x = 98,041.32 × 20,991.42
  4. Step 4: Simplify right side
    65,375.19x = 2,058,026,525.47
  5. Step 5: Solve for x
    x = 2,058,026,525.47/65,375.19
  6. Step 6: Final answer
    x = 31,480.24

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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.