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Finding the Fourth Proportional to 137,202.98, 205,804.47 and 90,444.92

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Solution

The fourth proportional to 137,202.98, 205,804.47 and 90,444.92 is: 135,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,202.98 : 205,804.47 = 90,444.92 : x
  2. Step 2: Convert to fraction form
    137,202.98/205,804.47 = 90,444.92/x
  3. Step 3: Cross multiply
    137,202.98x = 205,804.47 × 90,444.92
  4. Step 4: Simplify right side
    137,202.98x = 18,613,967,795.77
  5. Step 5: Solve for x
    x = 18,613,967,795.77/137,202.98
  6. Step 6: Final answer
    x = 135,667.38

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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.