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Finding the Fourth Proportional to 137,103.74, 205,572.58 and 89,661.57

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Solution

The fourth proportional to 137,103.74, 205,572.58 and 89,661.57 is: 134,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,103.74 : 205,572.58 = 89,661.57 : x
  2. Step 2: Convert to fraction form
    137,103.74/205,572.58 = 89,661.57/x
  3. Step 3: Cross multiply
    137,103.74x = 205,572.58 × 89,661.57
  4. Step 4: Simplify right side
    137,103.74x = 18,431,960,271.75
  5. Step 5: Solve for x
    x = 18,431,960,271.75/137,103.74
  6. Step 6: Final answer
    x = 134,438.06

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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.