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Finding the Fourth Proportional to 71,864.05, 107,714.31 and 43,722.07

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Solution

The fourth proportional to 71,864.05, 107,714.31 and 43,722.07 is: 65,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,864.05 : 107,714.31 = 43,722.07 : x
  2. Step 2: Convert to fraction form
    71,864.05/107,714.31 = 43,722.07/x
  3. Step 3: Cross multiply
    71,864.05x = 107,714.31 × 43,722.07
  4. Step 4: Simplify right side
    71,864.05x = 4,709,492,601.82
  5. Step 5: Solve for x
    x = 4,709,492,601.82/71,864.05
  6. Step 6: Final answer
    x = 65,533.36

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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.