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Finding the Fourth Proportional to 138,031.84, 206,964.10 and 90,036.30

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Solution

The fourth proportional to 138,031.84, 206,964.10 and 90,036.30 is: 134,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,031.84 : 206,964.10 = 90,036.30 : x
  2. Step 2: Convert to fraction form
    138,031.84/206,964.10 = 90,036.30/x
  3. Step 3: Cross multiply
    138,031.84x = 206,964.10 × 90,036.30
  4. Step 4: Simplify right side
    138,031.84x = 18,634,281,796.83
  5. Step 5: Solve for x
    x = 18,634,281,796.83/138,031.84
  6. Step 6: Final answer
    x = 134,999.88

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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.