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Finding the Fourth Proportional to 138,574.35, 207,341.51 and 82,208.07

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Solution

The fourth proportional to 138,574.35, 207,341.51 and 82,208.07 is: 123,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,574.35 : 207,341.51 = 82,208.07 : x
  2. Step 2: Convert to fraction form
    138,574.35/207,341.51 = 82,208.07/x
  3. Step 3: Cross multiply
    138,574.35x = 207,341.51 × 82,208.07
  4. Step 4: Simplify right side
    138,574.35x = 17,045,144,956.95
  5. Step 5: Solve for x
    x = 17,045,144,956.95/138,574.35
  6. Step 6: Final answer
    x = 123,003.61

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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.