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Finding the Fourth Proportional to 125,411.58, 188,112.42 and 31,919.76

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Solution

The fourth proportional to 125,411.58, 188,112.42 and 31,919.76 is: 47,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,411.58 : 188,112.42 = 31,919.76 : x
  2. Step 2: Convert to fraction form
    125,411.58/188,112.42 = 31,919.76/x
  3. Step 3: Cross multiply
    125,411.58x = 188,112.42 × 31,919.76
  4. Step 4: Simplify right side
    125,411.58x = 6,004,503,299.42
  5. Step 5: Solve for x
    x = 6,004,503,299.42/125,411.58
  6. Step 6: Final answer
    x = 47,878.38

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1.5x scale

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.