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Finding the Fourth Proportional to 105,900.78, 146,163.78 and 65,632.44

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Solution

The fourth proportional to 105,900.78, 146,163.78 and 65,632.44 is: 90,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,900.78 : 146,163.78 = 65,632.44 : x
  2. Step 2: Convert to fraction form
    105,900.78/146,163.78 = 65,632.44/x
  3. Step 3: Cross multiply
    105,900.78x = 146,163.78 × 65,632.44
  4. Step 4: Simplify right side
    105,900.78x = 9,593,085,521.02
  5. Step 5: Solve for x
    x = 9,593,085,521.02/105,900.78
  6. Step 6: Final answer
    x = 90,585.60

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1.5x scale

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.