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Finding the Fourth Proportional to 107,788.70, 161,683.05 and 106,039.10

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Solution

The fourth proportional to 107,788.70, 161,683.05 and 106,039.10 is: 159,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,788.70 : 161,683.05 = 106,039.10 : x
  2. Step 2: Convert to fraction form
    107,788.70/161,683.05 = 106,039.10/x
  3. Step 3: Cross multiply
    107,788.70x = 161,683.05 × 106,039.10
  4. Step 4: Simplify right side
    107,788.70x = 17,144,725,107.26
  5. Step 5: Solve for x
    x = 17,144,725,107.26/107,788.70
  6. Step 6: Final answer
    x = 159,058.65

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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.