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Finding the Fourth Proportional to 66,502, 91,781.28 and 38,213.20

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Solution

The fourth proportional to 66,502, 91,781.28 and 38,213.20 is: 52,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,502 : 91,781.28 = 38,213.20 : x
  2. Step 2: Convert to fraction form
    66,502/91,781.28 = 38,213.20/x
  3. Step 3: Cross multiply
    66,502x = 91,781.28 × 38,213.20
  4. Step 4: Simplify right side
    66,502x = 3,507,256,408.90
  5. Step 5: Solve for x
    x = 3,507,256,408.90/66,502
  6. Step 6: Final answer
    x = 52,739.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.