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Finding the Fourth Proportional to 137,104.86, 205,574.26 and 89,662.69

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Solution

The fourth proportional to 137,104.86, 205,574.26 and 89,662.69 is: 134,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,104.86 : 205,574.26 = 89,662.69 : x
  2. Step 2: Convert to fraction form
    137,104.86/205,574.26 = 89,662.69/x
  3. Step 3: Cross multiply
    137,104.86x = 205,574.26 × 89,662.69
  4. Step 4: Simplify right side
    137,104.86x = 18,432,341,146.36
  5. Step 5: Solve for x
    x = 18,432,341,146.36/137,104.86
  6. Step 6: Final answer
    x = 134,439.74

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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.