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Finding the Fourth Proportional to 215,089.92, 322,354.56 and 109,820.16

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Solution

The fourth proportional to 215,089.92, 322,354.56 and 109,820.16 is: 164,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,089.92 : 322,354.56 = 109,820.16 : x
  2. Step 2: Convert to fraction form
    215,089.92/322,354.56 = 109,820.16/x
  3. Step 3: Cross multiply
    215,089.92x = 322,354.56 × 109,820.16
  4. Step 4: Simplify right side
    215,089.92x = 35,401,029,355.93
  5. Step 5: Solve for x
    x = 35,401,029,355.93/215,089.92
  6. Step 6: Final answer
    x = 164,587.11

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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.