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Finding the Fourth Proportional to 101,178.16, 139,626.07 and 55,856.21

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Solution

The fourth proportional to 101,178.16, 139,626.07 and 55,856.21 is: 77,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,178.16 : 139,626.07 = 55,856.21 : x
  2. Step 2: Convert to fraction form
    101,178.16/139,626.07 = 55,856.21/x
  3. Step 3: Cross multiply
    101,178.16x = 139,626.07 × 55,856.21
  4. Step 4: Simplify right side
    101,178.16x = 7,798,983,087.39
  5. Step 5: Solve for x
    x = 7,798,983,087.39/101,178.16
  6. Step 6: Final answer
    x = 77,081.69

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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.