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Finding the Fourth Proportional to 76,781.94, 106,024.36 and 48,149.54

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Solution

The fourth proportional to 76,781.94, 106,024.36 and 48,149.54 is: 66,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,781.94 : 106,024.36 = 48,149.54 : x
  2. Step 2: Convert to fraction form
    76,781.94/106,024.36 = 48,149.54/x
  3. Step 3: Cross multiply
    76,781.94x = 106,024.36 × 48,149.54
  4. Step 4: Simplify right side
    76,781.94x = 5,105,024,162.79
  5. Step 5: Solve for x
    x = 5,105,024,162.79/76,781.94
  6. Step 6: Final answer
    x = 66,487.30

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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.