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Finding the Fourth Proportional to 206,572, 285,069.36 and 117,148

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Solution

The fourth proportional to 206,572, 285,069.36 and 117,148 is: 161,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,572 : 285,069.36 = 117,148 : x
  2. Step 2: Convert to fraction form
    206,572/285,069.36 = 117,148/x
  3. Step 3: Cross multiply
    206,572x = 285,069.36 × 117,148
  4. Step 4: Simplify right side
    206,572x = 33,395,305,385.28
  5. Step 5: Solve for x
    x = 33,395,305,385.28/206,572
  6. Step 6: Final answer
    x = 161,664.24

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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.