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Finding the Fourth Proportional to 210,091.73, 314,989.92 and 76,954.68

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Solution

The fourth proportional to 210,091.73, 314,989.92 and 76,954.68 is: 115,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,091.73 : 314,989.92 = 76,954.68 : x
  2. Step 2: Convert to fraction form
    210,091.73/314,989.92 = 76,954.68/x
  3. Step 3: Cross multiply
    210,091.73x = 314,989.92 × 76,954.68
  4. Step 4: Simplify right side
    210,091.73x = 24,239,948,496.83
  5. Step 5: Solve for x
    x = 24,239,948,496.83/210,091.73
  6. Step 6: Final answer
    x = 115,377.93

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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.