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Finding the Fourth Proportional to 133,039.40, 199,559.10 and 109,419.80

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Solution

The fourth proportional to 133,039.40, 199,559.10 and 109,419.80 is: 164,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,039.40 : 199,559.10 = 109,419.80 : x
  2. Step 2: Convert to fraction form
    133,039.40/199,559.10 = 109,419.80/x
  3. Step 3: Cross multiply
    133,039.40x = 199,559.10 × 109,419.80
  4. Step 4: Simplify right side
    133,039.40x = 21,835,716,810.18
  5. Step 5: Solve for x
    x = 21,835,716,810.18/133,039.40
  6. Step 6: Final answer
    x = 164,129.70

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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.