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Finding the Fourth Proportional to 123,173.16, 169,978.44 and 66,584.40

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Solution

The fourth proportional to 123,173.16, 169,978.44 and 66,584.40 is: 91,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,173.16 : 169,978.44 = 66,584.40 : x
  2. Step 2: Convert to fraction form
    123,173.16/169,978.44 = 66,584.40/x
  3. Step 3: Cross multiply
    123,173.16x = 169,978.44 × 66,584.40
  4. Step 4: Simplify right side
    123,173.16x = 11,317,912,440.34
  5. Step 5: Solve for x
    x = 11,317,912,440.34/123,173.16
  6. Step 6: Final answer
    x = 91,886.19

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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.