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Finding the Fourth Proportional to 259,033.32, 388,438.92 and 90,503.10

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Solution

The fourth proportional to 259,033.32, 388,438.92 and 90,503.10 is: 135,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,033.32 : 388,438.92 = 90,503.10 : x
  2. Step 2: Convert to fraction form
    259,033.32/388,438.92 = 90,503.10/x
  3. Step 3: Cross multiply
    259,033.32x = 388,438.92 × 90,503.10
  4. Step 4: Simplify right side
    259,033.32x = 35,154,926,420.65
  5. Step 5: Solve for x
    x = 35,154,926,420.65/259,033.32
  6. Step 6: Final answer
    x = 135,715.85

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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.