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Finding the Fourth Proportional to 122,392.82, 169,009.80 and 76,531.06

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Solution

The fourth proportional to 122,392.82, 169,009.80 and 76,531.06 is: 105,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,392.82 : 169,009.80 = 76,531.06 : x
  2. Step 2: Convert to fraction form
    122,392.82/169,009.80 = 76,531.06/x
  3. Step 3: Cross multiply
    122,392.82x = 169,009.80 × 76,531.06
  4. Step 4: Simplify right side
    122,392.82x = 12,934,499,144.39
  5. Step 5: Solve for x
    x = 12,934,499,144.39/122,392.82
  6. Step 6: Final answer
    x = 105,680.21

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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.