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Finding the Fourth Proportional to 72,446.45, 108,699.57 and 31,899.13

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Solution

The fourth proportional to 72,446.45, 108,699.57 and 31,899.13 is: 47,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,446.45 : 108,699.57 = 31,899.13 : x
  2. Step 2: Convert to fraction form
    72,446.45/108,699.57 = 31,899.13/x
  3. Step 3: Cross multiply
    72,446.45x = 108,699.57 × 31,899.13
  4. Step 4: Simplify right side
    72,446.45x = 3,467,421,442.63
  5. Step 5: Solve for x
    x = 3,467,421,442.63/72,446.45
  6. Step 6: Final answer
    x = 47,861.86

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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.