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Finding the Fourth Proportional to 76,188.44, 114,300.90 and 31,790.56

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Solution

The fourth proportional to 76,188.44, 114,300.90 and 31,790.56 is: 47,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,188.44 : 114,300.90 = 31,790.56 : x
  2. Step 2: Convert to fraction form
    76,188.44/114,300.90 = 31,790.56/x
  3. Step 3: Cross multiply
    76,188.44x = 114,300.90 × 31,790.56
  4. Step 4: Simplify right side
    76,188.44x = 3,633,689,619.50
  5. Step 5: Solve for x
    x = 3,633,689,619.50/76,188.44
  6. Step 6: Final answer
    x = 47,693.45

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1.5x scale

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.