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Finding the Fourth Proportional to 76,878.60, 115,311.74 and 34,197.28

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Solution

The fourth proportional to 76,878.60, 115,311.74 and 34,197.28 is: 51,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878.60 : 115,311.74 = 34,197.28 : x
  2. Step 2: Convert to fraction form
    76,878.60/115,311.74 = 34,197.28/x
  3. Step 3: Cross multiply
    76,878.60x = 115,311.74 × 34,197.28
  4. Step 4: Simplify right side
    76,878.60x = 3,943,347,860.07
  5. Step 5: Solve for x
    x = 3,943,347,860.07/76,878.60
  6. Step 6: Final answer
    x = 51,293.18

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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.