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Finding the Fourth Proportional to 65,777.32, 98,643.03 and 21,395.80

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Solution

The fourth proportional to 65,777.32, 98,643.03 and 21,395.80 is: 32,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,777.32 : 98,643.03 = 21,395.80 : x
  2. Step 2: Convert to fraction form
    65,777.32/98,643.03 = 21,395.80/x
  3. Step 3: Cross multiply
    65,777.32x = 98,643.03 × 21,395.80
  4. Step 4: Simplify right side
    65,777.32x = 2,110,546,541.27
  5. Step 5: Solve for x
    x = 2,110,546,541.27/65,777.32
  6. Step 6: Final answer
    x = 32,086.23

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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.