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Finding the Fourth Proportional to 123,184.50, 169,994.61 and 66,595.88

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Solution

The fourth proportional to 123,184.50, 169,994.61 and 66,595.88 is: 91,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,184.50 : 169,994.61 = 66,595.88 : x
  2. Step 2: Convert to fraction form
    123,184.50/169,994.61 = 66,595.88/x
  3. Step 3: Cross multiply
    123,184.50x = 169,994.61 × 66,595.88
  4. Step 4: Simplify right side
    123,184.50x = 11,320,939,798.23
  5. Step 5: Solve for x
    x = 11,320,939,798.23/123,184.50
  6. Step 6: Final answer
    x = 91,902.31

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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.