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Finding the Fourth Proportional to 76,473.60, 105,550.44 and 42,493.76

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Solution

The fourth proportional to 76,473.60, 105,550.44 and 42,493.76 is: 58,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473.60 : 105,550.44 = 42,493.76 : x
  2. Step 2: Convert to fraction form
    76,473.60/105,550.44 = 42,493.76/x
  3. Step 3: Cross multiply
    76,473.60x = 105,550.44 × 42,493.76
  4. Step 4: Simplify right side
    76,473.60x = 4,485,235,065.25
  5. Step 5: Solve for x
    x = 4,485,235,065.25/76,473.60
  6. Step 6: Final answer
    x = 58,650.76

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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.