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Finding the Fourth Proportional to 106,502.41, 159,601.39 and 78,200.42

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Solution

The fourth proportional to 106,502.41, 159,601.39 and 78,200.42 is: 117,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,502.41 : 159,601.39 = 78,200.42 : x
  2. Step 2: Convert to fraction form
    106,502.41/159,601.39 = 78,200.42/x
  3. Step 3: Cross multiply
    106,502.41x = 159,601.39 × 78,200.42
  4. Step 4: Simplify right side
    106,502.41x = 12,480,894,737.08
  5. Step 5: Solve for x
    x = 12,480,894,737.08/106,502.41
  6. Step 6: Final answer
    x = 117,188.85

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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.