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Finding the Fourth Proportional to 215,031.91, 322,552.30 and 78,250.33

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Solution

The fourth proportional to 215,031.91, 322,552.30 and 78,250.33 is: 117,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,031.91 : 322,552.30 = 78,250.33 : x
  2. Step 2: Convert to fraction form
    215,031.91/322,552.30 = 78,250.33/x
  3. Step 3: Cross multiply
    215,031.91x = 322,552.30 × 78,250.33
  4. Step 4: Simplify right side
    215,031.91x = 25,239,823,526.01
  5. Step 5: Solve for x
    x = 25,239,823,526.01/215,031.91
  6. Step 6: Final answer
    x = 117,377.11

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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.