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Finding the Fourth Proportional to 40,994.64, 61,491.96 and 31,648.30

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Solution

The fourth proportional to 40,994.64, 61,491.96 and 31,648.30 is: 47,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,994.64 : 61,491.96 = 31,648.30 : x
  2. Step 2: Convert to fraction form
    40,994.64/61,491.96 = 31,648.30/x
  3. Step 3: Cross multiply
    40,994.64x = 61,491.96 × 31,648.30
  4. Step 4: Simplify right side
    40,994.64x = 1,946,115,885.75
  5. Step 5: Solve for x
    x = 1,946,115,885.75/40,994.64
  6. Step 6: Final answer
    x = 47,472.45

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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.