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Finding the Fourth Proportional to 138,206.55, 207,528.53 and 104,964.15

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Solution

The fourth proportional to 138,206.55, 207,528.53 and 104,964.15 is: 157,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,206.55 : 207,528.53 = 104,964.15 : x
  2. Step 2: Convert to fraction form
    138,206.55/207,528.53 = 104,964.15/x
  3. Step 3: Cross multiply
    138,206.55x = 207,528.53 × 104,964.15
  4. Step 4: Simplify right side
    138,206.55x = 21,783,055,227.38
  5. Step 5: Solve for x
    x = 21,783,055,227.38/138,206.55
  6. Step 6: Final answer
    x = 157,612.32

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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.