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Finding the Fourth Proportional to 119,372.78, 164,790.78 and 75,787.22

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Solution

The fourth proportional to 119,372.78, 164,790.78 and 75,787.22 is: 104,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,372.78 : 164,790.78 = 75,787.22 : x
  2. Step 2: Convert to fraction form
    119,372.78/164,790.78 = 75,787.22/x
  3. Step 3: Cross multiply
    119,372.78x = 164,790.78 × 75,787.22
  4. Step 4: Simplify right side
    119,372.78x = 12,489,035,097.83
  5. Step 5: Solve for x
    x = 12,489,035,097.83/119,372.78
  6. Step 6: Final answer
    x = 104,622.13

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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.