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Finding the Fourth Proportional to 149,356.80, 205,998.48 and 101,529.52

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Solution

The fourth proportional to 149,356.80, 205,998.48 and 101,529.52 is: 140,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,356.80 : 205,998.48 = 101,529.52 : x
  2. Step 2: Convert to fraction form
    149,356.80/205,998.48 = 101,529.52/x
  3. Step 3: Cross multiply
    149,356.80x = 205,998.48 × 101,529.52
  4. Step 4: Simplify right side
    149,356.80x = 20,914,926,795.13
  5. Step 5: Solve for x
    x = 20,914,926,795.13/149,356.80
  6. Step 6: Final answer
    x = 140,033.31

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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.