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Finding the Fourth Proportional to 215,846.16, 323,691.48 and 91,196.88

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Solution

The fourth proportional to 215,846.16, 323,691.48 and 91,196.88 is: 136,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,846.16 : 323,691.48 = 91,196.88 : x
  2. Step 2: Convert to fraction form
    215,846.16/323,691.48 = 91,196.88/x
  3. Step 3: Cross multiply
    215,846.16x = 323,691.48 × 91,196.88
  4. Step 4: Simplify right side
    215,846.16x = 29,519,653,058.58
  5. Step 5: Solve for x
    x = 29,519,653,058.58/215,846.16
  6. Step 6: Final answer
    x = 136,762.47

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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.