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Finding the Fourth Proportional to 138,894.29, 208,341.54 and 33,713.36

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Solution

The fourth proportional to 138,894.29, 208,341.54 and 33,713.36 is: 50,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,894.29 : 208,341.54 = 33,713.36 : x
  2. Step 2: Convert to fraction form
    138,894.29/208,341.54 = 33,713.36/x
  3. Step 3: Cross multiply
    138,894.29x = 208,341.54 × 33,713.36
  4. Step 4: Simplify right side
    138,894.29x = 7,023,893,340.97
  5. Step 5: Solve for x
    x = 7,023,893,340.97/138,894.29
  6. Step 6: Final answer
    x = 50,570.07

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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.