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Finding the Fourth Proportional to 143,433.32, 215,001.74 and 54,663

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Solution

The fourth proportional to 143,433.32, 215,001.74 and 54,663 is: 81,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,433.32 : 215,001.74 = 54,663 : x
  2. Step 2: Convert to fraction form
    143,433.32/215,001.74 = 54,663/x
  3. Step 3: Cross multiply
    143,433.32x = 215,001.74 × 54,663
  4. Step 4: Simplify right side
    143,433.32x = 11,752,640,113.62
  5. Step 5: Solve for x
    x = 11,752,640,113.62/143,433.32
  6. Step 6: Final answer
    x = 81,938.01

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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.