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Finding the Fourth Proportional to 101,291.72, 139,691.78 and 84,352.06

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Solution

The fourth proportional to 101,291.72, 139,691.78 and 84,352.06 is: 116,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,291.72 : 139,691.78 = 84,352.06 : x
  2. Step 2: Convert to fraction form
    101,291.72/139,691.78 = 84,352.06/x
  3. Step 3: Cross multiply
    101,291.72x = 139,691.78 × 84,352.06
  4. Step 4: Simplify right side
    101,291.72x = 11,783,288,637.08
  5. Step 5: Solve for x
    x = 11,783,288,637.08/101,291.72
  6. Step 6: Final answer
    x = 116,330.22

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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.