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Finding the Fourth Proportional to 105,469.05, 145,395.99 and 75,201.87

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Solution

The fourth proportional to 105,469.05, 145,395.99 and 75,201.87 is: 103,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,469.05 : 145,395.99 = 75,201.87 : x
  2. Step 2: Convert to fraction form
    105,469.05/145,395.99 = 75,201.87/x
  3. Step 3: Cross multiply
    105,469.05x = 145,395.99 × 75,201.87
  4. Step 4: Simplify right side
    105,469.05x = 10,934,050,338.50
  5. Step 5: Solve for x
    x = 10,934,050,338.50/105,469.05
  6. Step 6: Final answer
    x = 103,670.70

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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.