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Finding the Fourth Proportional to 90,161.78, 124,421.01 and 49,877.78

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Solution

The fourth proportional to 90,161.78, 124,421.01 and 49,877.78 is: 68,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,161.78 : 124,421.01 = 49,877.78 : x
  2. Step 2: Convert to fraction form
    90,161.78/124,421.01 = 49,877.78/x
  3. Step 3: Cross multiply
    90,161.78x = 124,421.01 × 49,877.78
  4. Step 4: Simplify right side
    90,161.78x = 6,205,843,764.16
  5. Step 5: Solve for x
    x = 6,205,843,764.16/90,161.78
  6. Step 6: Final answer
    x = 68,830.09

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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.