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Finding the Fourth Proportional to 139,516.68, 192,532.08 and 75,854.48

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Solution

The fourth proportional to 139,516.68, 192,532.08 and 75,854.48 is: 104,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,516.68 : 192,532.08 = 75,854.48 : x
  2. Step 2: Convert to fraction form
    139,516.68/192,532.08 = 75,854.48/x
  3. Step 3: Cross multiply
    139,516.68x = 192,532.08 × 75,854.48
  4. Step 4: Simplify right side
    139,516.68x = 14,604,420,811.72
  5. Step 5: Solve for x
    x = 14,604,420,811.72/139,516.68
  6. Step 6: Final answer
    x = 104,678.67

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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.