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Finding the Fourth Proportional to 149,866.50, 206,821.71 and 86,204.22

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Solution

The fourth proportional to 149,866.50, 206,821.71 and 86,204.22 is: 118,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,866.50 : 206,821.71 = 86,204.22 : x
  2. Step 2: Convert to fraction form
    149,866.50/206,821.71 = 86,204.22/x
  3. Step 3: Cross multiply
    149,866.50x = 206,821.71 × 86,204.22
  4. Step 4: Simplify right side
    149,866.50x = 17,828,904,189.62
  5. Step 5: Solve for x
    x = 17,828,904,189.62/149,866.50
  6. Step 6: Final answer
    x = 118,965.24

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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.