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Finding the Fourth Proportional to 109,916.73, 164,894.84 and 38,880.54

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Solution

The fourth proportional to 109,916.73, 164,894.84 and 38,880.54 is: 58,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,916.73 : 164,894.84 = 38,880.54 : x
  2. Step 2: Convert to fraction form
    109,916.73/164,894.84 = 38,880.54/x
  3. Step 3: Cross multiply
    109,916.73x = 164,894.84 × 38,880.54
  4. Step 4: Simplify right side
    109,916.73x = 6,411,200,422.41
  5. Step 5: Solve for x
    x = 6,411,200,422.41/109,916.73
  6. Step 6: Final answer
    x = 58,327.79

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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.