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Finding the Fourth Proportional to 258,855.32, 388,171.80 and 90,325.10

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Solution

The fourth proportional to 258,855.32, 388,171.80 and 90,325.10 is: 135,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,855.32 : 388,171.80 = 90,325.10 : x
  2. Step 2: Convert to fraction form
    258,855.32/388,171.80 = 90,325.10/x
  3. Step 3: Cross multiply
    258,855.32x = 388,171.80 × 90,325.10
  4. Step 4: Simplify right side
    258,855.32x = 35,061,656,652.18
  5. Step 5: Solve for x
    x = 35,061,656,652.18/258,855.32
  6. Step 6: Final answer
    x = 135,448.85

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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.