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Finding the Fourth Proportional to 106,321.90, 159,337.05 and 86,638.90

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Solution

The fourth proportional to 106,321.90, 159,337.05 and 86,638.90 is: 129,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,321.90 : 159,337.05 = 86,638.90 : x
  2. Step 2: Convert to fraction form
    106,321.90/159,337.05 = 86,638.90/x
  3. Step 3: Cross multiply
    106,321.90x = 159,337.05 × 86,638.90
  4. Step 4: Simplify right side
    106,321.90x = 13,804,786,741.25
  5. Step 5: Solve for x
    x = 13,804,786,741.25/106,321.90
  6. Step 6: Final answer
    x = 129,839.54

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1.5x scale

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.