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Finding the Fourth Proportional to 102,163.68, 140,983.68 and 56,840.76

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Solution

The fourth proportional to 102,163.68, 140,983.68 and 56,840.76 is: 78,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,163.68 : 140,983.68 = 56,840.76 : x
  2. Step 2: Convert to fraction form
    102,163.68/140,983.68 = 56,840.76/x
  3. Step 3: Cross multiply
    102,163.68x = 140,983.68 × 56,840.76
  4. Step 4: Simplify right side
    102,163.68x = 8,013,619,518.80
  5. Step 5: Solve for x
    x = 8,013,619,518.80/102,163.68
  6. Step 6: Final answer
    x = 78,439.03

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1.5x scale

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.