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Finding the Fourth Proportional to 65,802.25, 98,713.59 and 21,418.57

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Solution

The fourth proportional to 65,802.25, 98,713.59 and 21,418.57 is: 32,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802.25 : 98,713.59 = 21,418.57 : x
  2. Step 2: Convert to fraction form
    65,802.25/98,713.59 = 21,418.57/x
  3. Step 3: Cross multiply
    65,802.25x = 98,713.59 × 21,418.57
  4. Step 4: Simplify right side
    65,802.25x = 2,114,303,937.37
  5. Step 5: Solve for x
    x = 2,114,303,937.37/65,802.25
  6. Step 6: Final answer
    x = 32,131.18

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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.