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Finding the Fourth Proportional to 123,147.54, 169,830.22 and 77,746.64

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Solution

The fourth proportional to 123,147.54, 169,830.22 and 77,746.64 is: 107,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,147.54 : 169,830.22 = 77,746.64 : x
  2. Step 2: Convert to fraction form
    123,147.54/169,830.22 = 77,746.64/x
  3. Step 3: Cross multiply
    123,147.54x = 169,830.22 × 77,746.64
  4. Step 4: Simplify right side
    123,147.54x = 13,203,728,975.46
  5. Step 5: Solve for x
    x = 13,203,728,975.46/123,147.54
  6. Step 6: Final answer
    x = 107,218.78

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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.