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Finding the Fourth Proportional to 68,612.37, 102,929.09 and 21,854.31

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Solution

The fourth proportional to 68,612.37, 102,929.09 and 21,854.31 is: 32,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,612.37 : 102,929.09 = 21,854.31 : x
  2. Step 2: Convert to fraction form
    68,612.37/102,929.09 = 21,854.31/x
  3. Step 3: Cross multiply
    68,612.37x = 102,929.09 × 21,854.31
  4. Step 4: Simplify right side
    68,612.37x = 2,249,444,131.61
  5. Step 5: Solve for x
    x = 2,249,444,131.61/68,612.37
  6. Step 6: Final answer
    x = 32,784.82

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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.