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Finding the Fourth Proportional to 216,165.12, 324,261.12 and 91,464

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Solution

The fourth proportional to 216,165.12, 324,261.12 and 91,464 is: 137,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,165.12 : 324,261.12 = 91,464 : x
  2. Step 2: Convert to fraction form
    216,165.12/324,261.12 = 91,464/x
  3. Step 3: Cross multiply
    216,165.12x = 324,261.12 × 91,464
  4. Step 4: Simplify right side
    216,165.12x = 29,658,219,079.68
  5. Step 5: Solve for x
    x = 29,658,219,079.68/216,165.12
  6. Step 6: Final answer
    x = 137,201.69

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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.