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Finding the Fourth Proportional to 139,840.77, 192,965.78 and 78,577.23

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Solution

The fourth proportional to 139,840.77, 192,965.78 and 78,577.23 is: 108,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,840.77 : 192,965.78 = 78,577.23 : x
  2. Step 2: Convert to fraction form
    139,840.77/192,965.78 = 78,577.23/x
  3. Step 3: Cross multiply
    139,840.77x = 192,965.78 × 78,577.23
  4. Step 4: Simplify right side
    139,840.77x = 15,162,715,950.01
  5. Step 5: Solve for x
    x = 15,162,715,950.01/139,840.77
  6. Step 6: Final answer
    x = 108,428.44

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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.