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Finding the Fourth Proportional to 133,073.19, 199,642.52 and 39,578.94

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Solution

The fourth proportional to 133,073.19, 199,642.52 and 39,578.94 is: 59,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073.19 : 199,642.52 = 39,578.94 : x
  2. Step 2: Convert to fraction form
    133,073.19/199,642.52 = 39,578.94/x
  3. Step 3: Cross multiply
    133,073.19x = 199,642.52 × 39,578.94
  4. Step 4: Simplify right side
    133,073.19x = 7,901,639,419.48
  5. Step 5: Solve for x
    x = 7,901,639,419.48/133,073.19
  6. Step 6: Final answer
    x = 59,378.15

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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.