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Finding the Fourth Proportional to 137,603.44, 189,874.38 and 76,348.65

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Solution

The fourth proportional to 137,603.44, 189,874.38 and 76,348.65 is: 105,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,603.44 : 189,874.38 = 76,348.65 : x
  2. Step 2: Convert to fraction form
    137,603.44/189,874.38 = 76,348.65/x
  3. Step 3: Cross multiply
    137,603.44x = 189,874.38 × 76,348.65
  4. Step 4: Simplify right side
    137,603.44x = 14,496,652,582.59
  5. Step 5: Solve for x
    x = 14,496,652,582.59/137,603.44
  6. Step 6: Final answer
    x = 105,350.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.