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Finding the Fourth Proportional to 91,468.78, 126,226.82 and 51,192

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Solution

The fourth proportional to 91,468.78, 126,226.82 and 51,192 is: 70,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,468.78 : 126,226.82 = 51,192 : x
  2. Step 2: Convert to fraction form
    91,468.78/126,226.82 = 51,192/x
  3. Step 3: Cross multiply
    91,468.78x = 126,226.82 × 51,192
  4. Step 4: Simplify right side
    91,468.78x = 6,461,803,497.42
  5. Step 5: Solve for x
    x = 6,461,803,497.42/91,468.78
  6. Step 6: Final answer
    x = 70,644.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.