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Finding the Fourth Proportional to 234,136.70, 323,073.90 and 142,208.18

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Solution

The fourth proportional to 234,136.70, 323,073.90 and 142,208.18 is: 196,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,136.70 : 323,073.90 = 142,208.18 : x
  2. Step 2: Convert to fraction form
    234,136.70/323,073.90 = 142,208.18/x
  3. Step 3: Cross multiply
    234,136.70x = 323,073.90 × 142,208.18
  4. Step 4: Simplify right side
    234,136.70x = 45,943,750,920.66
  5. Step 5: Solve for x
    x = 45,943,750,920.66/234,136.70
  6. Step 6: Final answer
    x = 196,226.18

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1.5x scale

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.