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Finding the Fourth Proportional to 125,405.64, 188,103.36 and 31,913.76

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Solution

The fourth proportional to 125,405.64, 188,103.36 and 31,913.76 is: 47,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,405.64 : 188,103.36 = 31,913.76 : x
  2. Step 2: Convert to fraction form
    125,405.64/188,103.36 = 31,913.76/x
  3. Step 3: Cross multiply
    125,405.64x = 188,103.36 × 31,913.76
  4. Step 4: Simplify right side
    125,405.64x = 6,003,085,486.23
  5. Step 5: Solve for x
    x = 6,003,085,486.23/125,405.64
  6. Step 6: Final answer
    x = 47,869.34

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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.