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Finding the Fourth Proportional to 90,412.80, 135,667.80 and 37,827.60

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Solution

The fourth proportional to 90,412.80, 135,667.80 and 37,827.60 is: 56,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,412.80 : 135,667.80 = 37,827.60 : x
  2. Step 2: Convert to fraction form
    90,412.80/135,667.80 = 37,827.60/x
  3. Step 3: Cross multiply
    90,412.80x = 135,667.80 × 37,827.60
  4. Step 4: Simplify right side
    90,412.80x = 5,131,987,271.28
  5. Step 5: Solve for x
    x = 5,131,987,271.28/90,412.80
  6. Step 6: Final answer
    x = 56,761.73

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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.