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Finding the Fourth Proportional to 76,624.76, 105,742.69 and 42,634.68

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Solution

The fourth proportional to 76,624.76, 105,742.69 and 42,634.68 is: 58,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,624.76 : 105,742.69 = 42,634.68 : x
  2. Step 2: Convert to fraction form
    76,624.76/105,742.69 = 42,634.68/x
  3. Step 3: Cross multiply
    76,624.76x = 105,742.69 × 42,634.68
  4. Step 4: Simplify right side
    76,624.76x = 4,508,305,247.37
  5. Step 5: Solve for x
    x = 4,508,305,247.37/76,624.76
  6. Step 6: Final answer
    x = 58,836.14

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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.