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Finding the Fourth Proportional to 122,678.91, 169,292.57 and 68,230.80

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Solution

The fourth proportional to 122,678.91, 169,292.57 and 68,230.80 is: 94,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,678.91 : 169,292.57 = 68,230.80 : x
  2. Step 2: Convert to fraction form
    122,678.91/169,292.57 = 68,230.80/x
  3. Step 3: Cross multiply
    122,678.91x = 169,292.57 × 68,230.80
  4. Step 4: Simplify right side
    122,678.91x = 11,550,967,144.00
  5. Step 5: Solve for x
    x = 11,550,967,144.00/122,678.91
  6. Step 6: Final answer
    x = 94,156.10

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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.