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Finding the Fourth Proportional to 139,805, 192,933.12 and 76,142.76

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Solution

The fourth proportional to 139,805, 192,933.12 and 76,142.76 is: 105,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,805 : 192,933.12 = 76,142.76 : x
  2. Step 2: Convert to fraction form
    139,805/192,933.12 = 76,142.76/x
  3. Step 3: Cross multiply
    139,805x = 192,933.12 × 76,142.76
  4. Step 4: Simplify right side
    139,805x = 14,690,460,252.21
  5. Step 5: Solve for x
    x = 14,690,460,252.21/139,805
  6. Step 6: Final answer
    x = 105,078.22

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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.