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Finding the Fourth Proportional to 137,415.78, 205,773.73 and 90,526.50

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Solution

The fourth proportional to 137,415.78, 205,773.73 and 90,526.50 is: 135,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.78 : 205,773.73 = 90,526.50 : x
  2. Step 2: Convert to fraction form
    137,415.78/205,773.73 = 90,526.50/x
  3. Step 3: Cross multiply
    137,415.78x = 205,773.73 × 90,526.50
  4. Step 4: Simplify right side
    137,415.78x = 18,627,975,568.85
  5. Step 5: Solve for x
    x = 18,627,975,568.85/137,415.78
  6. Step 6: Final answer
    x = 135,559.22

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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.