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Finding the Fourth Proportional to 85,332, 127,993.21 and 26,167.51

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Solution

The fourth proportional to 85,332, 127,993.21 and 26,167.51 is: 39,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,332 : 127,993.21 = 26,167.51 : x
  2. Step 2: Convert to fraction form
    85,332/127,993.21 = 26,167.51/x
  3. Step 3: Cross multiply
    85,332x = 127,993.21 × 26,167.51
  4. Step 4: Simplify right side
    85,332x = 3,349,262,831.80
  5. Step 5: Solve for x
    x = 3,349,262,831.80/85,332
  6. Step 6: Final answer
    x = 39,249.79

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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.