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Finding the Fourth Proportional to 139,029.20, 191,861.28 and 75,368

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Solution

The fourth proportional to 139,029.20, 191,861.28 and 75,368 is: 104,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,029.20 : 191,861.28 = 75,368 : x
  2. Step 2: Convert to fraction form
    139,029.20/191,861.28 = 75,368/x
  3. Step 3: Cross multiply
    139,029.20x = 191,861.28 × 75,368
  4. Step 4: Simplify right side
    139,029.20x = 14,460,200,951.04
  5. Step 5: Solve for x
    x = 14,460,200,951.04/139,029.20
  6. Step 6: Final answer
    x = 104,008.37

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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.