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Finding the Fourth Proportional to 77,074.40, 115,611.60 and 24,489.20

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Solution

The fourth proportional to 77,074.40, 115,611.60 and 24,489.20 is: 36,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074.40 : 115,611.60 = 24,489.20 : x
  2. Step 2: Convert to fraction form
    77,074.40/115,611.60 = 24,489.20/x
  3. Step 3: Cross multiply
    77,074.40x = 115,611.60 × 24,489.20
  4. Step 4: Simplify right side
    77,074.40x = 2,831,235,594.72
  5. Step 5: Solve for x
    x = 2,831,235,594.72/77,074.40
  6. Step 6: Final answer
    x = 36,733.80

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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.