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Finding the Fourth Proportional to 78,163.95, 107,866.35 and 42,353.96

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Solution

The fourth proportional to 78,163.95, 107,866.35 and 42,353.96 is: 58,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.95 : 107,866.35 = 42,353.96 : x
  2. Step 2: Convert to fraction form
    78,163.95/107,866.35 = 42,353.96/x
  3. Step 3: Cross multiply
    78,163.95x = 107,866.35 × 42,353.96
  4. Step 4: Simplify right side
    78,163.95x = 4,568,566,533.91
  5. Step 5: Solve for x
    x = 4,568,566,533.91/78,163.95
  6. Step 6: Final answer
    x = 58,448.51

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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.