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Finding the Fourth Proportional to 102,850.90, 154,276.35 and 82,114.90

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Solution

The fourth proportional to 102,850.90, 154,276.35 and 82,114.90 is: 123,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,850.90 : 154,276.35 = 82,114.90 : x
  2. Step 2: Convert to fraction form
    102,850.90/154,276.35 = 82,114.90/x
  3. Step 3: Cross multiply
    102,850.90x = 154,276.35 × 82,114.90
  4. Step 4: Simplify right side
    102,850.90x = 12,668,387,052.62
  5. Step 5: Solve for x
    x = 12,668,387,052.62/102,850.90
  6. Step 6: Final answer
    x = 123,172.35

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1.5x scale

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.