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Finding the Fourth Proportional to 139,731, 192,828.46 and 76,069.24

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Solution

The fourth proportional to 139,731, 192,828.46 and 76,069.24 is: 104,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,731 : 192,828.46 = 76,069.24 : x
  2. Step 2: Convert to fraction form
    139,731/192,828.46 = 76,069.24/x
  3. Step 3: Cross multiply
    139,731x = 192,828.46 × 76,069.24
  4. Step 4: Simplify right side
    139,731x = 14,668,314,402.57
  5. Step 5: Solve for x
    x = 14,668,314,402.57/139,731
  6. Step 6: Final answer
    x = 104,975.38

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1.5x scale

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.