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Finding the Fourth Proportional to 76,408.60, 114,612.90 and 51,525.40

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Solution

The fourth proportional to 76,408.60, 114,612.90 and 51,525.40 is: 77,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,408.60 : 114,612.90 = 51,525.40 : x
  2. Step 2: Convert to fraction form
    76,408.60/114,612.90 = 51,525.40/x
  3. Step 3: Cross multiply
    76,408.60x = 114,612.90 × 51,525.40
  4. Step 4: Simplify right side
    76,408.60x = 5,905,475,517.66
  5. Step 5: Solve for x
    x = 5,905,475,517.66/76,408.60
  6. Step 6: Final answer
    x = 77,288.10

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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.