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Finding the Fourth Proportional to 139,643.38, 192,711.32 and 75,984.67

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Solution

The fourth proportional to 139,643.38, 192,711.32 and 75,984.67 is: 104,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,643.38 : 192,711.32 = 75,984.67 : x
  2. Step 2: Convert to fraction form
    139,643.38/192,711.32 = 75,984.67/x
  3. Step 3: Cross multiply
    139,643.38x = 192,711.32 × 75,984.67
  4. Step 4: Simplify right side
    139,643.38x = 14,643,106,055.46
  5. Step 5: Solve for x
    x = 14,643,106,055.46/139,643.38
  6. Step 6: Final answer
    x = 104,860.72

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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.