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Finding the Fourth Proportional to 149,409.17, 206,179.41 and 81,424.76

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Solution

The fourth proportional to 149,409.17, 206,179.41 and 81,424.76 is: 112,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,409.17 : 206,179.41 = 81,424.76 : x
  2. Step 2: Convert to fraction form
    149,409.17/206,179.41 = 81,424.76/x
  3. Step 3: Cross multiply
    149,409.17x = 206,179.41 × 81,424.76
  4. Step 4: Simplify right side
    149,409.17x = 16,788,108,976.19
  5. Step 5: Solve for x
    x = 16,788,108,976.19/149,409.17
  6. Step 6: Final answer
    x = 112,363.31

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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.