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Finding the Fourth Proportional to 125,967.12, 188,506.72 and 78,604.51

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Solution

The fourth proportional to 125,967.12, 188,506.72 and 78,604.51 is: 117,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,967.12 : 188,506.72 = 78,604.51 : x
  2. Step 2: Convert to fraction form
    125,967.12/188,506.72 = 78,604.51/x
  3. Step 3: Cross multiply
    125,967.12x = 188,506.72 × 78,604.51
  4. Step 4: Simplify right side
    125,967.12x = 14,817,478,357.31
  5. Step 5: Solve for x
    x = 14,817,478,357.31/125,967.12
  6. Step 6: Final answer
    x = 117,629.73

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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.