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Finding the Fourth Proportional to 109,772, 151,501.70 and 66,758.49

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Solution

The fourth proportional to 109,772, 151,501.70 and 66,758.49 is: 92,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,772 : 151,501.70 = 66,758.49 : x
  2. Step 2: Convert to fraction form
    109,772/151,501.70 = 66,758.49/x
  3. Step 3: Cross multiply
    109,772x = 151,501.70 × 66,758.49
  4. Step 4: Simplify right side
    109,772x = 10,114,024,724.43
  5. Step 5: Solve for x
    x = 10,114,024,724.43/109,772
  6. Step 6: Final answer
    x = 92,136.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.