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Finding the Fourth Proportional to 138,058.94, 206,784.85 and 114,094.89

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Solution

The fourth proportional to 138,058.94, 206,784.85 and 114,094.89 is: 170,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,058.94 : 206,784.85 = 114,094.89 : x
  2. Step 2: Convert to fraction form
    138,058.94/206,784.85 = 114,094.89/x
  3. Step 3: Cross multiply
    138,058.94x = 206,784.85 × 114,094.89
  4. Step 4: Simplify right side
    138,058.94x = 23,593,094,714.42
  5. Step 5: Solve for x
    x = 23,593,094,714.42/138,058.94
  6. Step 6: Final answer
    x = 170,891.47

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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.