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Finding the Fourth Proportional to 45,038, 67,556.46 and 42,297.78

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Solution

The fourth proportional to 45,038, 67,556.46 and 42,297.78 is: 63,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,038 : 67,556.46 = 42,297.78 : x
  2. Step 2: Convert to fraction form
    45,038/67,556.46 = 42,297.78/x
  3. Step 3: Cross multiply
    45,038x = 67,556.46 × 42,297.78
  4. Step 4: Simplify right side
    45,038x = 2,857,488,282.66
  5. Step 5: Solve for x
    x = 2,857,488,282.66/45,038
  6. Step 6: Final answer
    x = 63,446.16

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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.