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Finding the Fourth Proportional to 76,744.32, 115,116.48 and 72,412.80

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Solution

The fourth proportional to 76,744.32, 115,116.48 and 72,412.80 is: 108,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,744.32 : 115,116.48 = 72,412.80 : x
  2. Step 2: Convert to fraction form
    76,744.32/115,116.48 = 72,412.80/x
  3. Step 3: Cross multiply
    76,744.32x = 115,116.48 × 72,412.80
  4. Step 4: Simplify right side
    76,744.32x = 8,335,906,642.94
  5. Step 5: Solve for x
    x = 8,335,906,642.94/76,744.32
  6. Step 6: Final answer
    x = 108,619.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.