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Finding the Fourth Proportional to 76,380.87, 105,402.48 and 42,390.78

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Solution

The fourth proportional to 76,380.87, 105,402.48 and 42,390.78 is: 58,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,380.87 : 105,402.48 = 42,390.78 : x
  2. Step 2: Convert to fraction form
    76,380.87/105,402.48 = 42,390.78/x
  3. Step 3: Cross multiply
    76,380.87x = 105,402.48 × 42,390.78
  4. Step 4: Simplify right side
    76,380.87x = 4,468,093,025.36
  5. Step 5: Solve for x
    x = 4,468,093,025.36/76,380.87
  6. Step 6: Final answer
    x = 58,497.54

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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.