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Finding the Fourth Proportional to 137,415.15, 205,772.79 and 90,525.87

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Solution

The fourth proportional to 137,415.15, 205,772.79 and 90,525.87 is: 135,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.15 : 205,772.79 = 90,525.87 : x
  2. Step 2: Convert to fraction form
    137,415.15/205,772.79 = 90,525.87/x
  3. Step 3: Cross multiply
    137,415.15x = 205,772.79 × 90,525.87
  4. Step 4: Simplify right side
    137,415.15x = 18,627,760,837.08
  5. Step 5: Solve for x
    x = 18,627,760,837.08/137,415.15
  6. Step 6: Final answer
    x = 135,558.28

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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.