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Finding the Fourth Proportional to 139,758.80, 209,635.80 and 34,577.84

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Solution

The fourth proportional to 139,758.80, 209,635.80 and 34,577.84 is: 51,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,758.80 : 209,635.80 = 34,577.84 : x
  2. Step 2: Convert to fraction form
    139,758.80/209,635.80 = 34,577.84/x
  3. Step 3: Cross multiply
    139,758.80x = 209,635.80 × 34,577.84
  4. Step 4: Simplify right side
    139,758.80x = 7,248,753,150.67
  5. Step 5: Solve for x
    x = 7,248,753,150.67/139,758.80
  6. Step 6: Final answer
    x = 51,866.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.