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Finding the Fourth Proportional to 91,476, 126,242.20 and 51,189.42

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Solution

The fourth proportional to 91,476, 126,242.20 and 51,189.42 is: 70,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,476 : 126,242.20 = 51,189.42 : x
  2. Step 2: Convert to fraction form
    91,476/126,242.20 = 51,189.42/x
  3. Step 3: Cross multiply
    91,476x = 126,242.20 × 51,189.42
  4. Step 4: Simplify right side
    91,476x = 6,462,264,997.52
  5. Step 5: Solve for x
    x = 6,462,264,997.52/91,476
  6. Step 6: Final answer
    x = 70,644.38

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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.