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Finding the Fourth Proportional to 106,114.81, 146,355.45 and 65,805.79

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Solution

The fourth proportional to 106,114.81, 146,355.45 and 65,805.79 is: 90,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.81 : 146,355.45 = 65,805.79 : x
  2. Step 2: Convert to fraction form
    106,114.81/146,355.45 = 65,805.79/x
  3. Step 3: Cross multiply
    106,114.81x = 146,355.45 × 65,805.79
  4. Step 4: Simplify right side
    106,114.81x = 9,631,036,008.06
  5. Step 5: Solve for x
    x = 9,631,036,008.06/106,114.81
  6. Step 6: Final answer
    x = 90,760.53

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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.