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Finding the Fourth Proportional to 137,276.80, 205,915.20 and 48,529.60

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Solution

The fourth proportional to 137,276.80, 205,915.20 and 48,529.60 is: 72,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,276.80 : 205,915.20 = 48,529.60 : x
  2. Step 2: Convert to fraction form
    137,276.80/205,915.20 = 48,529.60/x
  3. Step 3: Cross multiply
    137,276.80x = 205,915.20 × 48,529.60
  4. Step 4: Simplify right side
    137,276.80x = 9,992,982,289.92
  5. Step 5: Solve for x
    x = 9,992,982,289.92/137,276.80
  6. Step 6: Final answer
    x = 72,794.40

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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.