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Finding the Fourth Proportional to 78,176.84, 107,921.22 and 52,379.81

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Solution

The fourth proportional to 78,176.84, 107,921.22 and 52,379.81 is: 72,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,176.84 : 107,921.22 = 52,379.81 : x
  2. Step 2: Convert to fraction form
    78,176.84/107,921.22 = 52,379.81/x
  3. Step 3: Cross multiply
    78,176.84x = 107,921.22 × 52,379.81
  4. Step 4: Simplify right side
    78,176.84x = 5,652,892,998.57
  5. Step 5: Solve for x
    x = 5,652,892,998.57/78,176.84
  6. Step 6: Final answer
    x = 72,309.05

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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.