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Finding the Fourth Proportional to 122,989.82, 169,738.71 and 75,274.94

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Solution

The fourth proportional to 122,989.82, 169,738.71 and 75,274.94 is: 103,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,989.82 : 169,738.71 = 75,274.94 : x
  2. Step 2: Convert to fraction form
    122,989.82/169,738.71 = 75,274.94/x
  3. Step 3: Cross multiply
    122,989.82x = 169,738.71 × 75,274.94
  4. Step 4: Simplify right side
    122,989.82x = 12,777,071,210.93
  5. Step 5: Solve for x
    x = 12,777,071,210.93/122,989.82
  6. Step 6: Final answer
    x = 103,887.23

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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.