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Finding the Fourth Proportional to 133,071.69, 199,642.10 and 66,509.13

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Solution

The fourth proportional to 133,071.69, 199,642.10 and 66,509.13 is: 99,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.69 : 199,642.10 = 66,509.13 : x
  2. Step 2: Convert to fraction form
    133,071.69/199,642.10 = 66,509.13/x
  3. Step 3: Cross multiply
    133,071.69x = 199,642.10 × 66,509.13
  4. Step 4: Simplify right side
    133,071.69x = 13,278,022,382.37
  5. Step 5: Solve for x
    x = 13,278,022,382.37/133,071.69
  6. Step 6: Final answer
    x = 99,780.97

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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.