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Finding the Fourth Proportional to 253,873.66, 380,801.24 and 102,117.73

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Solution

The fourth proportional to 253,873.66, 380,801.24 and 102,117.73 is: 153,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,873.66 : 380,801.24 = 102,117.73 : x
  2. Step 2: Convert to fraction form
    253,873.66/380,801.24 = 102,117.73/x
  3. Step 3: Cross multiply
    253,873.66x = 380,801.24 × 102,117.73
  4. Step 4: Simplify right side
    253,873.66x = 38,886,556,747.39
  5. Step 5: Solve for x
    x = 38,886,556,747.39/253,873.66
  6. Step 6: Final answer
    x = 153,172.87

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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.