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Finding the Fourth Proportional to 209,166, 288,644.08 and 117,279.16

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Solution

The fourth proportional to 209,166, 288,644.08 and 117,279.16 is: 161,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,166 : 288,644.08 = 117,279.16 : x
  2. Step 2: Convert to fraction form
    209,166/288,644.08 = 117,279.16/x
  3. Step 3: Cross multiply
    209,166x = 288,644.08 × 117,279.16
  4. Step 4: Simplify right side
    209,166x = 33,851,935,241.37
  5. Step 5: Solve for x
    x = 33,851,935,241.37/209,166
  6. Step 6: Final answer
    x = 161,842.44

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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.