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Finding the Fourth Proportional to 105,901.78, 146,165.16 and 65,633.44

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Solution

The fourth proportional to 105,901.78, 146,165.16 and 65,633.44 is: 90,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,901.78 : 146,165.16 = 65,633.44 : x
  2. Step 2: Convert to fraction form
    105,901.78/146,165.16 = 65,633.44/x
  3. Step 3: Cross multiply
    105,901.78x = 146,165.16 × 65,633.44
  4. Step 4: Simplify right side
    105,901.78x = 9,593,322,258.95
  5. Step 5: Solve for x
    x = 9,593,322,258.95/105,901.78
  6. Step 6: Final answer
    x = 90,586.98

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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.