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Finding the Fourth Proportional to 78,153.95, 107,856.63 and 44,163.87

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Solution

The fourth proportional to 78,153.95, 107,856.63 and 44,163.87 is: 60,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,153.95 : 107,856.63 = 44,163.87 : x
  2. Step 2: Convert to fraction form
    78,153.95/107,856.63 = 44,163.87/x
  3. Step 3: Cross multiply
    78,153.95x = 107,856.63 × 44,163.87
  4. Step 4: Simplify right side
    78,153.95x = 4,763,366,185.96
  5. Step 5: Solve for x
    x = 4,763,366,185.96/78,153.95
  6. Step 6: Final answer
    x = 60,948.51

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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.