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Finding the Fourth Proportional to 137,391.72, 205,793.40 and 103,741.08

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Solution

The fourth proportional to 137,391.72, 205,793.40 and 103,741.08 is: 155,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,391.72 : 205,793.40 = 103,741.08 : x
  2. Step 2: Convert to fraction form
    137,391.72/205,793.40 = 103,741.08/x
  3. Step 3: Cross multiply
    137,391.72x = 205,793.40 × 103,741.08
  4. Step 4: Simplify right side
    137,391.72x = 21,349,229,572.87
  5. Step 5: Solve for x
    x = 21,349,229,572.87/137,391.72
  6. Step 6: Final answer
    x = 155,389.49

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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.