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Finding the Fourth Proportional to 106,145.78, 146,398.26 and 65,836.94

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Solution

The fourth proportional to 106,145.78, 146,398.26 and 65,836.94 is: 90,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,145.78 : 146,398.26 = 65,836.94 : x
  2. Step 2: Convert to fraction form
    106,145.78/146,398.26 = 65,836.94/x
  3. Step 3: Cross multiply
    106,145.78x = 146,398.26 × 65,836.94
  4. Step 4: Simplify right side
    106,145.78x = 9,638,413,459.72
  5. Step 5: Solve for x
    x = 9,638,413,459.72/106,145.78
  6. Step 6: Final answer
    x = 90,803.55

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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.