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Finding the Fourth Proportional to 282,120.37, 423,169.62 and 71,763.77

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Solution

The fourth proportional to 282,120.37, 423,169.62 and 71,763.77 is: 107,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,120.37 : 423,169.62 = 71,763.77 : x
  2. Step 2: Convert to fraction form
    282,120.37/423,169.62 = 71,763.77/x
  3. Step 3: Cross multiply
    282,120.37x = 423,169.62 × 71,763.77
  4. Step 4: Simplify right side
    282,120.37x = 30,368,248,069.48
  5. Step 5: Solve for x
    x = 30,368,248,069.48/282,120.37
  6. Step 6: Final answer
    x = 107,642.88

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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.