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Finding the Fourth Proportional to 139,644.51, 192,710.30 and 75,982.77

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Solution

The fourth proportional to 139,644.51, 192,710.30 and 75,982.77 is: 104,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,644.51 : 192,710.30 = 75,982.77 : x
  2. Step 2: Convert to fraction form
    139,644.51/192,710.30 = 75,982.77/x
  3. Step 3: Cross multiply
    139,644.51x = 192,710.30 × 75,982.77
  4. Step 4: Simplify right side
    139,644.51x = 14,642,662,021.62
  5. Step 5: Solve for x
    x = 14,642,662,021.62/139,644.51
  6. Step 6: Final answer
    x = 104,856.70

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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.