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Finding the Fourth Proportional to 139,518.82, 192,535 and 75,856.65

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Solution

The fourth proportional to 139,518.82, 192,535 and 75,856.65 is: 104,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,518.82 : 192,535 = 75,856.65 : x
  2. Step 2: Convert to fraction form
    139,518.82/192,535 = 75,856.65/x
  3. Step 3: Cross multiply
    139,518.82x = 192,535 × 75,856.65
  4. Step 4: Simplify right side
    139,518.82x = 14,605,060,107.75
  5. Step 5: Solve for x
    x = 14,605,060,107.75/139,518.82
  6. Step 6: Final answer
    x = 104,681.65

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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.