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Finding the Fourth Proportional to 106,613.95, 159,920.12 and 43,419.21

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Solution

The fourth proportional to 106,613.95, 159,920.12 and 43,419.21 is: 65,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,613.95 : 159,920.12 = 43,419.21 : x
  2. Step 2: Convert to fraction form
    106,613.95/159,920.12 = 43,419.21/x
  3. Step 3: Cross multiply
    106,613.95x = 159,920.12 × 43,419.21
  4. Step 4: Simplify right side
    106,613.95x = 6,943,605,382.05
  5. Step 5: Solve for x
    x = 6,943,605,382.05/106,613.95
  6. Step 6: Final answer
    x = 65,128.49

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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.