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Finding the Fourth Proportional to 76,438.71, 105,481.89 and 42,449.36

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Solution

The fourth proportional to 76,438.71, 105,481.89 and 42,449.36 is: 58,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,438.71 : 105,481.89 = 42,449.36 : x
  2. Step 2: Convert to fraction form
    76,438.71/105,481.89 = 42,449.36/x
  3. Step 3: Cross multiply
    76,438.71x = 105,481.89 × 42,449.36
  4. Step 4: Simplify right side
    76,438.71x = 4,477,638,194.68
  5. Step 5: Solve for x
    x = 4,477,638,194.68/76,438.71
  6. Step 6: Final answer
    x = 58,578.15

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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.