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Finding the Fourth Proportional to 137,117.20, 205,690.20 and 43,601.20

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Solution

The fourth proportional to 137,117.20, 205,690.20 and 43,601.20 is: 65,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,117.20 : 205,690.20 = 43,601.20 : x
  2. Step 2: Convert to fraction form
    137,117.20/205,690.20 = 43,601.20/x
  3. Step 3: Cross multiply
    137,117.20x = 205,690.20 × 43,601.20
  4. Step 4: Simplify right side
    137,117.20x = 8,968,339,548.24
  5. Step 5: Solve for x
    x = 8,968,339,548.24/137,117.20
  6. Step 6: Final answer
    x = 65,406.38

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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.