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Finding the Fourth Proportional to 143,816.40, 215,724.60 and 137,255.40

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Solution

The fourth proportional to 143,816.40, 215,724.60 and 137,255.40 is: 205,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,816.40 : 215,724.60 = 137,255.40 : x
  2. Step 2: Convert to fraction form
    143,816.40/215,724.60 = 137,255.40/x
  3. Step 3: Cross multiply
    143,816.40x = 215,724.60 × 137,255.40
  4. Step 4: Simplify right side
    143,816.40x = 29,609,366,262.84
  5. Step 5: Solve for x
    x = 29,609,366,262.84/143,816.40
  6. Step 6: Final answer
    x = 205,883.10

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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.