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Finding the Fourth Proportional to 122,306.29, 168,784.09 and 67,859.47

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Solution

The fourth proportional to 122,306.29, 168,784.09 and 67,859.47 is: 93,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,306.29 : 168,784.09 = 67,859.47 : x
  2. Step 2: Convert to fraction form
    122,306.29/168,784.09 = 67,859.47/x
  3. Step 3: Cross multiply
    122,306.29x = 168,784.09 × 67,859.47
  4. Step 4: Simplify right side
    122,306.29x = 11,453,598,933.16
  5. Step 5: Solve for x
    x = 11,453,598,933.16/122,306.29
  6. Step 6: Final answer
    x = 93,646.85

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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.