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Finding the Fourth Proportional to 133,859.85, 200,725.63 and 77,715.46

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Solution

The fourth proportional to 133,859.85, 200,725.63 and 77,715.46 is: 116,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,859.85 : 200,725.63 = 77,715.46 : x
  2. Step 2: Convert to fraction form
    133,859.85/200,725.63 = 77,715.46/x
  3. Step 3: Cross multiply
    133,859.85x = 200,725.63 × 77,715.46
  4. Step 4: Simplify right side
    133,859.85x = 15,599,483,596.78
  5. Step 5: Solve for x
    x = 15,599,483,596.78/133,859.85
  6. Step 6: Final answer
    x = 116,535.94

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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.