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Finding the Fourth Proportional to 149,390.82, 206,141.95 and 91,218.29

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Solution

The fourth proportional to 149,390.82, 206,141.95 and 91,218.29 is: 125,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,390.82 : 206,141.95 = 91,218.29 : x
  2. Step 2: Convert to fraction form
    149,390.82/206,141.95 = 91,218.29/x
  3. Step 3: Cross multiply
    149,390.82x = 206,141.95 × 91,218.29
  4. Step 4: Simplify right side
    149,390.82x = 18,803,916,463.57
  5. Step 5: Solve for x
    x = 18,803,916,463.57/149,390.82
  6. Step 6: Final answer
    x = 125,870.63

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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.