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Finding the Fourth Proportional to 105,896.98, 146,206.38 and 65,653.66

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Solution

The fourth proportional to 105,896.98, 146,206.38 and 65,653.66 is: 90,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,896.98 : 146,206.38 = 65,653.66 : x
  2. Step 2: Convert to fraction form
    105,896.98/146,206.38 = 65,653.66/x
  3. Step 3: Cross multiply
    105,896.98x = 146,206.38 × 65,653.66
  4. Step 4: Simplify right side
    105,896.98x = 9,598,983,962.35
  5. Step 5: Solve for x
    x = 9,598,983,962.35/105,896.98
  6. Step 6: Final answer
    x = 90,644.55

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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.