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Finding the Fourth Proportional to 106,532, 159,645.75 and 78,230.06

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Solution

The fourth proportional to 106,532, 159,645.75 and 78,230.06 is: 117,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,532 : 159,645.75 = 78,230.06 : x
  2. Step 2: Convert to fraction form
    106,532/159,645.75 = 78,230.06/x
  3. Step 3: Cross multiply
    106,532x = 159,645.75 × 78,230.06
  4. Step 4: Simplify right side
    106,532x = 12,489,096,601.25
  5. Step 5: Solve for x
    x = 12,489,096,601.25/106,532
  6. Step 6: Final answer
    x = 117,233.29

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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.