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Finding the Fourth Proportional to 65,831.80, 98,757.93 and 21,448.21

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Solution

The fourth proportional to 65,831.80, 98,757.93 and 21,448.21 is: 32,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831.80 : 98,757.93 = 21,448.21 : x
  2. Step 2: Convert to fraction form
    65,831.80/98,757.93 = 21,448.21/x
  3. Step 3: Cross multiply
    65,831.80x = 98,757.93 × 21,448.21
  4. Step 4: Simplify right side
    65,831.80x = 2,118,180,328.02
  5. Step 5: Solve for x
    x = 2,118,180,328.02/65,831.80
  6. Step 6: Final answer
    x = 32,175.64

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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.