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Finding the Fourth Proportional to 76,128, 114,232.92 and 31,785.12

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Solution

The fourth proportional to 76,128, 114,232.92 and 31,785.12 is: 47,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,128 : 114,232.92 = 31,785.12 : x
  2. Step 2: Convert to fraction form
    76,128/114,232.92 = 31,785.12/x
  3. Step 3: Cross multiply
    76,128x = 114,232.92 × 31,785.12
  4. Step 4: Simplify right side
    76,128x = 3,630,907,070.15
  5. Step 5: Solve for x
    x = 3,630,907,070.15/76,128
  6. Step 6: Final answer
    x = 47,694.77

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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.