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Finding the Fourth Proportional to 147,209.40, 220,814.10 and 133,212.60

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Solution

The fourth proportional to 147,209.40, 220,814.10 and 133,212.60 is: 199,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,209.40 : 220,814.10 = 133,212.60 : x
  2. Step 2: Convert to fraction form
    147,209.40/220,814.10 = 133,212.60/x
  3. Step 3: Cross multiply
    147,209.40x = 220,814.10 × 133,212.60
  4. Step 4: Simplify right side
    147,209.40x = 29,415,220,377.66
  5. Step 5: Solve for x
    x = 29,415,220,377.66/147,209.40
  6. Step 6: Final answer
    x = 199,818.90

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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.