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Finding the Fourth Proportional to 72,864.41, 109,326.87 and 34,894.58

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Solution

The fourth proportional to 72,864.41, 109,326.87 and 34,894.58 is: 52,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,864.41 : 109,326.87 = 34,894.58 : x
  2. Step 2: Convert to fraction form
    72,864.41/109,326.87 = 34,894.58/x
  3. Step 3: Cross multiply
    72,864.41x = 109,326.87 × 34,894.58
  4. Step 4: Simplify right side
    72,864.41x = 3,814,914,664.73
  5. Step 5: Solve for x
    x = 3,814,914,664.73/72,864.41
  6. Step 6: Final answer
    x = 52,356.36

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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.