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Finding the Fourth Proportional to 81,254.64, 121,897.22 and 36,884.51

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Solution

The fourth proportional to 81,254.64, 121,897.22 and 36,884.51 is: 55,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,254.64 : 121,897.22 = 36,884.51 : x
  2. Step 2: Convert to fraction form
    81,254.64/121,897.22 = 36,884.51/x
  3. Step 3: Cross multiply
    81,254.64x = 121,897.22 × 36,884.51
  4. Step 4: Simplify right side
    81,254.64x = 4,496,119,230.06
  5. Step 5: Solve for x
    x = 4,496,119,230.06/81,254.64
  6. Step 6: Final answer
    x = 55,333.69

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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.