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Finding the Fourth Proportional to 78,163.85, 107,903.29 and 52,366.81

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Solution

The fourth proportional to 78,163.85, 107,903.29 and 52,366.81 is: 72,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.85 : 107,903.29 = 52,366.81 : x
  2. Step 2: Convert to fraction form
    78,163.85/107,903.29 = 52,366.81/x
  3. Step 3: Cross multiply
    78,163.85x = 107,903.29 × 52,366.81
  4. Step 4: Simplify right side
    78,163.85x = 5,650,550,685.13
  5. Step 5: Solve for x
    x = 5,650,550,685.13/78,163.85
  6. Step 6: Final answer
    x = 72,291.10

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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.