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Finding the Fourth Proportional to 125,991, 188,986.50 and 52,119

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Solution

The fourth proportional to 125,991, 188,986.50 and 52,119 is: 78,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,991 : 188,986.50 = 52,119 : x
  2. Step 2: Convert to fraction form
    125,991/188,986.50 = 52,119/x
  3. Step 3: Cross multiply
    125,991x = 188,986.50 × 52,119
  4. Step 4: Simplify right side
    125,991x = 9,849,787,393.50
  5. Step 5: Solve for x
    x = 9,849,787,393.50/125,991
  6. Step 6: Final answer
    x = 78,178.50

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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.