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Finding the Fourth Proportional to 145,163.84, 217,745.68 and 45,332.59

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Solution

The fourth proportional to 145,163.84, 217,745.68 and 45,332.59 is: 67,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,163.84 : 217,745.68 = 45,332.59 : x
  2. Step 2: Convert to fraction form
    145,163.84/217,745.68 = 45,332.59/x
  3. Step 3: Cross multiply
    145,163.84x = 217,745.68 × 45,332.59
  4. Step 4: Simplify right side
    145,163.84x = 9,870,974,320.32
  5. Step 5: Solve for x
    x = 9,870,974,320.32/145,163.84
  6. Step 6: Final answer
    x = 67,998.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.