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Finding the Fourth Proportional to 133,578.70, 200,050.02 and 77,300.17

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Solution

The fourth proportional to 133,578.70, 200,050.02 and 77,300.17 is: 115,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,578.70 : 200,050.02 = 77,300.17 : x
  2. Step 2: Convert to fraction form
    133,578.70/200,050.02 = 77,300.17/x
  3. Step 3: Cross multiply
    133,578.70x = 200,050.02 × 77,300.17
  4. Step 4: Simplify right side
    133,578.70x = 15,463,900,554.50
  5. Step 5: Solve for x
    x = 15,463,900,554.50/133,578.70
  6. Step 6: Final answer
    x = 115,766.22

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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.