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Finding the Fourth Proportional to 106,314.90, 159,472.35 and 81,431.70

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Solution

The fourth proportional to 106,314.90, 159,472.35 and 81,431.70 is: 122,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,314.90 : 159,472.35 = 81,431.70 : x
  2. Step 2: Convert to fraction form
    106,314.90/159,472.35 = 81,431.70/x
  3. Step 3: Cross multiply
    106,314.90x = 159,472.35 × 81,431.70
  4. Step 4: Simplify right side
    106,314.90x = 12,986,104,563.50
  5. Step 5: Solve for x
    x = 12,986,104,563.50/106,314.90
  6. Step 6: Final answer
    x = 122,147.55

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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.