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Finding the Fourth Proportional to 74,472.70, 102,796.23 and 47,687.35

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Solution

The fourth proportional to 74,472.70, 102,796.23 and 47,687.35 is: 65,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,472.70 : 102,796.23 = 47,687.35 : x
  2. Step 2: Convert to fraction form
    74,472.70/102,796.23 = 47,687.35/x
  3. Step 3: Cross multiply
    74,472.70x = 102,796.23 × 47,687.35
  4. Step 4: Simplify right side
    74,472.70x = 4,902,079,798.69
  5. Step 5: Solve for x
    x = 4,902,079,798.69/74,472.70
  6. Step 6: Final answer
    x = 65,823.85

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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.