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Finding the Fourth Proportional to 137,202.81, 205,804.22 and 90,444.75

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Solution

The fourth proportional to 137,202.81, 205,804.22 and 90,444.75 is: 135,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,202.81 : 205,804.22 = 90,444.75 : x
  2. Step 2: Convert to fraction form
    137,202.81/205,804.22 = 90,444.75/x
  3. Step 3: Cross multiply
    137,202.81x = 205,804.22 × 90,444.75
  4. Step 4: Simplify right side
    137,202.81x = 18,613,910,002.86
  5. Step 5: Solve for x
    x = 18,613,910,002.86/137,202.81
  6. Step 6: Final answer
    x = 135,667.12

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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.