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Finding the Fourth Proportional to 146,109.80, 219,164.70 and 140,204.90

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Solution

The fourth proportional to 146,109.80, 219,164.70 and 140,204.90 is: 210,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,109.80 : 219,164.70 = 140,204.90 : x
  2. Step 2: Convert to fraction form
    146,109.80/219,164.70 = 140,204.90/x
  3. Step 3: Cross multiply
    146,109.80x = 219,164.70 × 140,204.90
  4. Step 4: Simplify right side
    146,109.80x = 30,727,964,847.03
  5. Step 5: Solve for x
    x = 30,727,964,847.03/146,109.80
  6. Step 6: Final answer
    x = 210,307.35

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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.