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Finding the Fourth Proportional to 122,643.88, 169,122.54 and 102,493.24

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Solution

The fourth proportional to 122,643.88, 169,122.54 and 102,493.24 is: 141,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,643.88 : 169,122.54 = 102,493.24 : x
  2. Step 2: Convert to fraction form
    122,643.88/169,122.54 = 102,493.24/x
  3. Step 3: Cross multiply
    122,643.88x = 169,122.54 × 102,493.24
  4. Step 4: Simplify right side
    122,643.88x = 17,333,917,081.63
  5. Step 5: Solve for x
    x = 17,333,917,081.63/122,643.88
  6. Step 6: Final answer
    x = 141,335.36

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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.