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Finding the Fourth Proportional to 81,495.64, 122,291.12 and 34,106.77

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Solution

The fourth proportional to 81,495.64, 122,291.12 and 34,106.77 is: 51,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,495.64 : 122,291.12 = 34,106.77 : x
  2. Step 2: Convert to fraction form
    81,495.64/122,291.12 = 34,106.77/x
  3. Step 3: Cross multiply
    81,495.64x = 122,291.12 × 34,106.77
  4. Step 4: Simplify right side
    81,495.64x = 4,170,955,102.88
  5. Step 5: Solve for x
    x = 4,170,955,102.88/81,495.64
  6. Step 6: Final answer
    x = 51,180.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.