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Finding the Fourth Proportional to 136,668, 188,601.88 and 77,052

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Solution

The fourth proportional to 136,668, 188,601.88 and 77,052 is: 106,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,668 : 188,601.88 = 77,052 : x
  2. Step 2: Convert to fraction form
    136,668/188,601.88 = 77,052/x
  3. Step 3: Cross multiply
    136,668x = 188,601.88 × 77,052
  4. Step 4: Simplify right side
    136,668x = 14,532,152,057.76
  5. Step 5: Solve for x
    x = 14,532,152,057.76/136,668
  6. Step 6: Final answer
    x = 106,331.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.