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Finding the Fourth Proportional to 65,393.21, 98,067.74 and 21,009.53

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Solution

The fourth proportional to 65,393.21, 98,067.74 and 21,009.53 is: 31,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,393.21 : 98,067.74 = 21,009.53 : x
  2. Step 2: Convert to fraction form
    65,393.21/98,067.74 = 21,009.53/x
  3. Step 3: Cross multiply
    65,393.21x = 98,067.74 × 21,009.53
  4. Step 4: Simplify right side
    65,393.21x = 2,060,356,530.18
  5. Step 5: Solve for x
    x = 2,060,356,530.18/65,393.21
  6. Step 6: Final answer
    x = 31,507.20

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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.