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Finding the Fourth Proportional to 137,206.72, 205,856.70 and 74,032.84

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Solution

The fourth proportional to 137,206.72, 205,856.70 and 74,032.84 is: 111,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,206.72 : 205,856.70 = 74,032.84 : x
  2. Step 2: Convert to fraction form
    137,206.72/205,856.70 = 74,032.84/x
  3. Step 3: Cross multiply
    137,206.72x = 205,856.70 × 74,032.84
  4. Step 4: Simplify right side
    137,206.72x = 15,240,156,134.03
  5. Step 5: Solve for x
    x = 15,240,156,134.03/137,206.72
  6. Step 6: Final answer
    x = 111,074.41

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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.