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Finding the Fourth Proportional to 76,705, 114,926.46 and 54,408.04

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Solution

The fourth proportional to 76,705, 114,926.46 and 54,408.04 is: 81,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,705 : 114,926.46 = 54,408.04 : x
  2. Step 2: Convert to fraction form
    76,705/114,926.46 = 54,408.04/x
  3. Step 3: Cross multiply
    76,705x = 114,926.46 × 54,408.04
  4. Step 4: Simplify right side
    76,705x = 6,252,923,432.74
  5. Step 5: Solve for x
    x = 6,252,923,432.74/76,705
  6. Step 6: Final answer
    x = 81,519.11

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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.