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Finding the Fourth Proportional to 106,117.25, 146,651.83 and 86,966.82

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Solution

The fourth proportional to 106,117.25, 146,651.83 and 86,966.82 is: 120,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,117.25 : 146,651.83 = 86,966.82 : x
  2. Step 2: Convert to fraction form
    106,117.25/146,651.83 = 86,966.82/x
  3. Step 3: Cross multiply
    106,117.25x = 146,651.83 × 86,966.82
  4. Step 4: Simplify right side
    106,117.25x = 12,753,843,634.81
  5. Step 5: Solve for x
    x = 12,753,843,634.81/106,117.25
  6. Step 6: Final answer
    x = 120,186.34

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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.