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Finding the Fourth Proportional to 76,180.50, 105,125.85 and 42,188.85

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Solution

The fourth proportional to 76,180.50, 105,125.85 and 42,188.85 is: 58,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,180.50 : 105,125.85 = 42,188.85 : x
  2. Step 2: Convert to fraction form
    76,180.50/105,125.85 = 42,188.85/x
  3. Step 3: Cross multiply
    76,180.50x = 105,125.85 × 42,188.85
  4. Step 4: Simplify right side
    76,180.50x = 4,435,138,716.77
  5. Step 5: Solve for x
    x = 4,435,138,716.77/76,180.50
  6. Step 6: Final answer
    x = 58,218.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.