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Finding the Fourth Proportional to 136,168.46, 187,909.78 and 75,737.81

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Solution

The fourth proportional to 136,168.46, 187,909.78 and 75,737.81 is: 104,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,168.46 : 187,909.78 = 75,737.81 : x
  2. Step 2: Convert to fraction form
    136,168.46/187,909.78 = 75,737.81/x
  3. Step 3: Cross multiply
    136,168.46x = 187,909.78 × 75,737.81
  4. Step 4: Simplify right side
    136,168.46x = 14,231,874,085.89
  5. Step 5: Solve for x
    x = 14,231,874,085.89/136,168.46
  6. Step 6: Final answer
    x = 104,516.67

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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.