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Finding the Fourth Proportional to 147,409.98, 203,400.27 and 86,976.06

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Solution

The fourth proportional to 147,409.98, 203,400.27 and 86,976.06 is: 120,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,409.98 : 203,400.27 = 86,976.06 : x
  2. Step 2: Convert to fraction form
    147,409.98/203,400.27 = 86,976.06/x
  3. Step 3: Cross multiply
    147,409.98x = 203,400.27 × 86,976.06
  4. Step 4: Simplify right side
    147,409.98x = 17,690,954,087.54
  5. Step 5: Solve for x
    x = 17,690,954,087.54/147,409.98
  6. Step 6: Final answer
    x = 120,011.92

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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.