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Finding the Fourth Proportional to 106,143.78, 146,395.50 and 65,834.94

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Solution

The fourth proportional to 106,143.78, 146,395.50 and 65,834.94 is: 90,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,143.78 : 146,395.50 = 65,834.94 : x
  2. Step 2: Convert to fraction form
    106,143.78/146,395.50 = 65,834.94/x
  3. Step 3: Cross multiply
    106,143.78x = 146,395.50 × 65,834.94
  4. Step 4: Simplify right side
    106,143.78x = 9,637,938,958.77
  5. Step 5: Solve for x
    x = 9,637,938,958.77/106,143.78
  6. Step 6: Final answer
    x = 90,800.79

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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.