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Finding the Fourth Proportional to 74,005.31, 102,125.80 and 40,471.31

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Solution

The fourth proportional to 74,005.31, 102,125.80 and 40,471.31 is: 55,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,005.31 : 102,125.80 = 40,471.31 : x
  2. Step 2: Convert to fraction form
    74,005.31/102,125.80 = 40,471.31/x
  3. Step 3: Cross multiply
    74,005.31x = 102,125.80 × 40,471.31
  4. Step 4: Simplify right side
    74,005.31x = 4,133,164,910.80
  5. Step 5: Solve for x
    x = 4,133,164,910.80/74,005.31
  6. Step 6: Final answer
    x = 55,849.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.