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Finding the Fourth Proportional to 136,598.41, 188,505 and 76,169.77

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Solution

The fourth proportional to 136,598.41, 188,505 and 76,169.77 is: 105,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,598.41 : 188,505 = 76,169.77 : x
  2. Step 2: Convert to fraction form
    136,598.41/188,505 = 76,169.77/x
  3. Step 3: Cross multiply
    136,598.41x = 188,505 × 76,169.77
  4. Step 4: Simplify right side
    136,598.41x = 14,358,382,493.85
  5. Step 5: Solve for x
    x = 14,358,382,493.85/136,598.41
  6. Step 6: Final answer
    x = 105,113.83

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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.