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Finding the Fourth Proportional to 138,695.25, 191,406.33 and 84,983.25

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Solution

The fourth proportional to 138,695.25, 191,406.33 and 84,983.25 is: 117,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,695.25 : 191,406.33 = 84,983.25 : x
  2. Step 2: Convert to fraction form
    138,695.25/191,406.33 = 84,983.25/x
  3. Step 3: Cross multiply
    138,695.25x = 191,406.33 × 84,983.25
  4. Step 4: Simplify right side
    138,695.25x = 16,266,331,993.97
  5. Step 5: Solve for x
    x = 16,266,331,993.97/138,695.25
  6. Step 6: Final answer
    x = 117,281.10

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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.