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Finding the Fourth Proportional to 106,144.78, 146,396.88 and 65,835.94

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Solution

The fourth proportional to 106,144.78, 146,396.88 and 65,835.94 is: 90,802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,144.78 : 146,396.88 = 65,835.94 : x
  2. Step 2: Convert to fraction form
    106,144.78/146,396.88 = 65,835.94/x
  3. Step 3: Cross multiply
    106,144.78x = 146,396.88 × 65,835.94
  4. Step 4: Simplify right side
    106,144.78x = 9,638,176,207.87
  5. Step 5: Solve for x
    x = 9,638,176,207.87/106,144.78
  6. Step 6: Final answer
    x = 90,802.17

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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.