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Finding the Fourth Proportional to 143,203.50, 214,893.90 and 83,260.17

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Solution

The fourth proportional to 143,203.50, 214,893.90 and 83,260.17 is: 124,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,203.50 : 214,893.90 = 83,260.17 : x
  2. Step 2: Convert to fraction form
    143,203.50/214,893.90 = 83,260.17/x
  3. Step 3: Cross multiply
    143,203.50x = 214,893.90 × 83,260.17
  4. Step 4: Simplify right side
    143,203.50x = 17,892,102,645.96
  5. Step 5: Solve for x
    x = 17,892,102,645.96/143,203.50
  6. Step 6: Final answer
    x = 124,941.80

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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.