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Finding the Fourth Proportional to 105,163.86, 145,138.86 and 59,852.87

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Solution

The fourth proportional to 105,163.86, 145,138.86 and 59,852.87 is: 82,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,163.86 : 145,138.86 = 59,852.87 : x
  2. Step 2: Convert to fraction form
    105,163.86/145,138.86 = 59,852.87/x
  3. Step 3: Cross multiply
    105,163.86x = 145,138.86 × 59,852.87
  4. Step 4: Simplify right side
    105,163.86x = 8,686,976,593.83
  5. Step 5: Solve for x
    x = 8,686,976,593.83/105,163.86
  6. Step 6: Final answer
    x = 82,604.20

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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.