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Finding the Fourth Proportional to 76,287.32, 114,410.48 and 31,904.89

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Solution

The fourth proportional to 76,287.32, 114,410.48 and 31,904.89 is: 47,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,287.32 : 114,410.48 = 31,904.89 : x
  2. Step 2: Convert to fraction form
    76,287.32/114,410.48 = 31,904.89/x
  3. Step 3: Cross multiply
    76,287.32x = 114,410.48 × 31,904.89
  4. Step 4: Simplify right side
    76,287.32x = 3,650,253,333.70
  5. Step 5: Solve for x
    x = 3,650,253,333.70/76,287.32
  6. Step 6: Final answer
    x = 47,848.76

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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.