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Finding the Fourth Proportional to 106,379.80, 146,807.40 and 61,066.06

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Solution

The fourth proportional to 106,379.80, 146,807.40 and 61,066.06 is: 84,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,379.80 : 146,807.40 = 61,066.06 : x
  2. Step 2: Convert to fraction form
    106,379.80/146,807.40 = 61,066.06/x
  3. Step 3: Cross multiply
    106,379.80x = 146,807.40 × 61,066.06
  4. Step 4: Simplify right side
    106,379.80x = 8,964,949,496.84
  5. Step 5: Solve for x
    x = 8,964,949,496.84/106,379.80
  6. Step 6: Final answer
    x = 84,273.04

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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.