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Finding the Fourth Proportional to 143,596.74, 198,224.76 and 102,230.40

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Solution

The fourth proportional to 143,596.74, 198,224.76 and 102,230.40 is: 141,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,596.74 : 198,224.76 = 102,230.40 : x
  2. Step 2: Convert to fraction form
    143,596.74/198,224.76 = 102,230.40/x
  3. Step 3: Cross multiply
    143,596.74x = 198,224.76 × 102,230.40
  4. Step 4: Simplify right side
    143,596.74x = 20,264,596,504.70
  5. Step 5: Solve for x
    x = 20,264,596,504.70/143,596.74
  6. Step 6: Final answer
    x = 141,121.56

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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.