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Finding the Fourth Proportional to 122,493.54, 169,054.64 and 71,518.80

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Solution

The fourth proportional to 122,493.54, 169,054.64 and 71,518.80 is: 98,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,493.54 : 169,054.64 = 71,518.80 : x
  2. Step 2: Convert to fraction form
    122,493.54/169,054.64 = 71,518.80/x
  3. Step 3: Cross multiply
    122,493.54x = 169,054.64 × 71,518.80
  4. Step 4: Simplify right side
    122,493.54x = 12,090,584,629.64
  5. Step 5: Solve for x
    x = 12,090,584,629.64/122,493.54
  6. Step 6: Final answer
    x = 98,703.86

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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.