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Finding the Fourth Proportional to 76,651.68, 105,778.56 and 42,659.64

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Solution

The fourth proportional to 76,651.68, 105,778.56 and 42,659.64 is: 58,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,651.68 : 105,778.56 = 42,659.64 : x
  2. Step 2: Convert to fraction form
    76,651.68/105,778.56 = 42,659.64/x
  3. Step 3: Cross multiply
    76,651.68x = 105,778.56 × 42,659.64
  4. Step 4: Simplify right side
    76,651.68x = 4,512,475,289.32
  5. Step 5: Solve for x
    x = 4,512,475,289.32/76,651.68
  6. Step 6: Final answer
    x = 58,869.88

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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.