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Finding the Fourth Proportional to 281,082.88, 387,889.32 and 153,757.36

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Solution

The fourth proportional to 281,082.88, 387,889.32 and 153,757.36 is: 212,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,082.88 : 387,889.32 = 153,757.36 : x
  2. Step 2: Convert to fraction form
    281,082.88/387,889.32 = 153,757.36/x
  3. Step 3: Cross multiply
    281,082.88x = 387,889.32 × 153,757.36
  4. Step 4: Simplify right side
    281,082.88x = 59,640,837,815.40
  5. Step 5: Solve for x
    x = 59,640,837,815.40/281,082.88
  6. Step 6: Final answer
    x = 212,182.39

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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.