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Finding the Fourth Proportional to 76,453.92, 105,505.68 and 42,919.68

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Solution

The fourth proportional to 76,453.92, 105,505.68 and 42,919.68 is: 59,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,453.92 : 105,505.68 = 42,919.68 : x
  2. Step 2: Convert to fraction form
    76,453.92/105,505.68 = 42,919.68/x
  3. Step 3: Cross multiply
    76,453.92x = 105,505.68 × 42,919.68
  4. Step 4: Simplify right side
    76,453.92x = 4,528,270,023.78
  5. Step 5: Solve for x
    x = 4,528,270,023.78/76,453.92
  6. Step 6: Final answer
    x = 59,228.75

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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.