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Finding the Fourth Proportional to 159,924.17, 240,031.35 and 85,107.31

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Solution

The fourth proportional to 159,924.17, 240,031.35 and 85,107.31 is: 127,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,924.17 : 240,031.35 = 85,107.31 : x
  2. Step 2: Convert to fraction form
    159,924.17/240,031.35 = 85,107.31/x
  3. Step 3: Cross multiply
    159,924.17x = 240,031.35 × 85,107.31
  4. Step 4: Simplify right side
    159,924.17x = 20,428,421,914.09
  5. Step 5: Solve for x
    x = 20,428,421,914.09/159,924.17
  6. Step 6: Final answer
    x = 127,738.17

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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.