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Finding the Fourth Proportional to 138,690.73, 191,398.63 and 81,322.07

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Solution

The fourth proportional to 138,690.73, 191,398.63 and 81,322.07 is: 112,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,690.73 : 191,398.63 = 81,322.07 : x
  2. Step 2: Convert to fraction form
    138,690.73/191,398.63 = 81,322.07/x
  3. Step 3: Cross multiply
    138,690.73x = 191,398.63 × 81,322.07
  4. Step 4: Simplify right side
    138,690.73x = 15,564,932,583.46
  5. Step 5: Solve for x
    x = 15,564,932,583.46/138,690.73
  6. Step 6: Final answer
    x = 112,227.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.