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Finding the Fourth Proportional to 76,722.32, 115,044.24 and 35,133.68

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Solution

The fourth proportional to 76,722.32, 115,044.24 and 35,133.68 is: 52,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,722.32 : 115,044.24 = 35,133.68 : x
  2. Step 2: Convert to fraction form
    76,722.32/115,044.24 = 35,133.68/x
  3. Step 3: Cross multiply
    76,722.32x = 115,044.24 × 35,133.68
  4. Step 4: Simplify right side
    76,722.32x = 4,041,927,514.00
  5. Step 5: Solve for x
    x = 4,041,927,514.00/76,722.32
  6. Step 6: Final answer
    x = 52,682.55

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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.