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Finding the Fourth Proportional to 72,315.68, 108,456 and 27,914.08

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Solution

The fourth proportional to 72,315.68, 108,456 and 27,914.08 is: 41,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,315.68 : 108,456 = 27,914.08 : x
  2. Step 2: Convert to fraction form
    72,315.68/108,456 = 27,914.08/x
  3. Step 3: Cross multiply
    72,315.68x = 108,456 × 27,914.08
  4. Step 4: Simplify right side
    72,315.68x = 3,027,449,460.48
  5. Step 5: Solve for x
    x = 3,027,449,460.48/72,315.68
  6. Step 6: Final answer
    x = 41,864.36

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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.