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Finding the Fourth Proportional to 76,244.80, 114,374.80 and 31,885.44

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Solution

The fourth proportional to 76,244.80, 114,374.80 and 31,885.44 is: 47,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,244.80 : 114,374.80 = 31,885.44 : x
  2. Step 2: Convert to fraction form
    76,244.80/114,374.80 = 31,885.44/x
  3. Step 3: Cross multiply
    76,244.80x = 114,374.80 × 31,885.44
  4. Step 4: Simplify right side
    76,244.80x = 3,646,890,822.91
  5. Step 5: Solve for x
    x = 3,646,890,822.91/76,244.80
  6. Step 6: Final answer
    x = 47,831.34

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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.