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Finding the Fourth Proportional to 81,347.68, 122,257.68 and 53,820.64

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Solution

The fourth proportional to 81,347.68, 122,257.68 and 53,820.64 is: 80,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,347.68 : 122,257.68 = 53,820.64 : x
  2. Step 2: Convert to fraction form
    81,347.68/122,257.68 = 53,820.64/x
  3. Step 3: Cross multiply
    81,347.68x = 122,257.68 × 53,820.64
  4. Step 4: Simplify right side
    81,347.68x = 6,579,986,582.52
  5. Step 5: Solve for x
    x = 6,579,986,582.52/81,347.68
  6. Step 6: Final answer
    x = 80,887.21

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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.