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Finding the Fourth Proportional to 106,374, 159,588.34 and 39,815.09

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Solution

The fourth proportional to 106,374, 159,588.34 and 39,815.09 is: 59,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,374 : 159,588.34 = 39,815.09 : x
  2. Step 2: Convert to fraction form
    106,374/159,588.34 = 39,815.09/x
  3. Step 3: Cross multiply
    106,374x = 159,588.34 × 39,815.09
  4. Step 4: Simplify right side
    106,374x = 6,354,023,322.11
  5. Step 5: Solve for x
    x = 6,354,023,322.11/106,374
  6. Step 6: Final answer
    x = 59,732.86

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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.