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Finding the Fourth Proportional to 106,189.79, 146,490.73 and 65,950.35

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Solution

The fourth proportional to 106,189.79, 146,490.73 and 65,950.35 is: 90,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,189.79 : 146,490.73 = 65,950.35 : x
  2. Step 2: Convert to fraction form
    106,189.79/146,490.73 = 65,950.35/x
  3. Step 3: Cross multiply
    106,189.79x = 146,490.73 × 65,950.35
  4. Step 4: Simplify right side
    106,189.79x = 9,661,115,025.05
  5. Step 5: Solve for x
    x = 9,661,115,025.05/106,189.79
  6. Step 6: Final answer
    x = 90,979.70

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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.