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Finding the Fourth Proportional to 76,658.32, 105,783.22 and 47,976.78

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Solution

The fourth proportional to 76,658.32, 105,783.22 and 47,976.78 is: 66,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,658.32 : 105,783.22 = 47,976.78 : x
  2. Step 2: Convert to fraction form
    76,658.32/105,783.22 = 47,976.78/x
  3. Step 3: Cross multiply
    76,658.32x = 105,783.22 × 47,976.78
  4. Step 4: Simplify right side
    76,658.32x = 5,075,138,162.90
  5. Step 5: Solve for x
    x = 5,075,138,162.90/76,658.32
  6. Step 6: Final answer
    x = 66,204.66

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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.