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Finding the Fourth Proportional to 66,787.02, 100,021.50 and 38,647.77

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Solution

The fourth proportional to 66,787.02, 100,021.50 and 38,647.77 is: 57,879.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,787.02 : 100,021.50 = 38,647.77 : x
  2. Step 2: Convert to fraction form
    66,787.02/100,021.50 = 38,647.77/x
  3. Step 3: Cross multiply
    66,787.02x = 100,021.50 × 38,647.77
  4. Step 4: Simplify right side
    66,787.02x = 3,865,607,927.06
  5. Step 5: Solve for x
    x = 3,865,607,927.06/66,787.02
  6. Step 6: Final answer
    x = 57,879.63

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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.