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Finding the Fourth Proportional to 138,700.20, 208,050.30 and 105,522.60

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Solution

The fourth proportional to 138,700.20, 208,050.30 and 105,522.60 is: 158,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,700.20 : 208,050.30 = 105,522.60 : x
  2. Step 2: Convert to fraction form
    138,700.20/208,050.30 = 105,522.60/x
  3. Step 3: Cross multiply
    138,700.20x = 208,050.30 × 105,522.60
  4. Step 4: Simplify right side
    138,700.20x = 21,954,008,586.78
  5. Step 5: Solve for x
    x = 21,954,008,586.78/138,700.20
  6. Step 6: Final answer
    x = 158,283.90

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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.