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Finding the Fourth Proportional to 38,146.50, 57,235.50 and 20,595.66

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Solution

The fourth proportional to 38,146.50, 57,235.50 and 20,595.66 is: 30,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,146.50 : 57,235.50 = 20,595.66 : x
  2. Step 2: Convert to fraction form
    38,146.50/57,235.50 = 20,595.66/x
  3. Step 3: Cross multiply
    38,146.50x = 57,235.50 × 20,595.66
  4. Step 4: Simplify right side
    38,146.50x = 1,178,802,897.93
  5. Step 5: Solve for x
    x = 1,178,802,897.93/38,146.50
  6. Step 6: Final answer
    x = 30,901.99

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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.