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Finding the Fourth Proportional to 207,138.50, 285,848.40 and 116,494.43

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Solution

The fourth proportional to 207,138.50, 285,848.40 and 116,494.43 is: 160,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,138.50 : 285,848.40 = 116,494.43 : x
  2. Step 2: Convert to fraction form
    207,138.50/285,848.40 = 116,494.43/x
  3. Step 3: Cross multiply
    207,138.50x = 285,848.40 × 116,494.43
  4. Step 4: Simplify right side
    207,138.50x = 33,299,744,995.17
  5. Step 5: Solve for x
    x = 33,299,744,995.17/207,138.50
  6. Step 6: Final answer
    x = 160,760.78

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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.