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Finding the Fourth Proportional to 109,937.28, 164,813.58 and 76,558.80

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Solution

The fourth proportional to 109,937.28, 164,813.58 and 76,558.80 is: 114,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,937.28 : 164,813.58 = 76,558.80 : x
  2. Step 2: Convert to fraction form
    109,937.28/164,813.58 = 76,558.80/x
  3. Step 3: Cross multiply
    109,937.28x = 164,813.58 × 76,558.80
  4. Step 4: Simplify right side
    109,937.28x = 12,617,929,908.50
  5. Step 5: Solve for x
    x = 12,617,929,908.50/109,937.28
  6. Step 6: Final answer
    x = 114,773.90

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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.