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Finding the Fourth Proportional to 122,394.58, 169,012.22 and 76,532.81

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Solution

The fourth proportional to 122,394.58, 169,012.22 and 76,532.81 is: 105,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,394.58 : 169,012.22 = 76,532.81 : x
  2. Step 2: Convert to fraction form
    122,394.58/169,012.22 = 76,532.81/x
  3. Step 3: Cross multiply
    122,394.58x = 169,012.22 × 76,532.81
  4. Step 4: Simplify right side
    122,394.58x = 12,934,980,120.94
  5. Step 5: Solve for x
    x = 12,934,980,120.94/122,394.58
  6. Step 6: Final answer
    x = 105,682.62

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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.