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Finding the Fourth Proportional to 136,767.78, 205,243.29 and 48,021.57

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Solution

The fourth proportional to 136,767.78, 205,243.29 and 48,021.57 is: 72,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,767.78 : 205,243.29 = 48,021.57 : x
  2. Step 2: Convert to fraction form
    136,767.78/205,243.29 = 48,021.57/x
  3. Step 3: Cross multiply
    136,767.78x = 205,243.29 × 48,021.57
  4. Step 4: Simplify right side
    136,767.78x = 9,856,105,017.77
  5. Step 5: Solve for x
    x = 9,856,105,017.77/136,767.78
  6. Step 6: Final answer
    x = 72,064.52

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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.