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Finding the Fourth Proportional to 215,118.12, 322,720.74 and 90,459

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Solution

The fourth proportional to 215,118.12, 322,720.74 and 90,459 is: 135,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,118.12 : 322,720.74 = 90,459 : x
  2. Step 2: Convert to fraction form
    215,118.12/322,720.74 = 90,459/x
  3. Step 3: Cross multiply
    215,118.12x = 322,720.74 × 90,459
  4. Step 4: Simplify right side
    215,118.12x = 29,192,995,419.66
  5. Step 5: Solve for x
    x = 29,192,995,419.66/215,118.12
  6. Step 6: Final answer
    x = 135,706.82

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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.