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Finding the Fourth Proportional to 40,957.52, 61,434.12 and 20,174

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Solution

The fourth proportional to 40,957.52, 61,434.12 and 20,174 is: 30,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,957.52 : 61,434.12 = 20,174 : x
  2. Step 2: Convert to fraction form
    40,957.52/61,434.12 = 20,174/x
  3. Step 3: Cross multiply
    40,957.52x = 61,434.12 × 20,174
  4. Step 4: Simplify right side
    40,957.52x = 1,239,371,936.88
  5. Step 5: Solve for x
    x = 1,239,371,936.88/40,957.52
  6. Step 6: Final answer
    x = 30,259.94

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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.