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Finding the Fourth Proportional to 218,444.30, 327,710.16 and 68,722.28

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Solution

The fourth proportional to 218,444.30, 327,710.16 and 68,722.28 is: 103,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,444.30 : 327,710.16 = 68,722.28 : x
  2. Step 2: Convert to fraction form
    218,444.30/327,710.16 = 68,722.28/x
  3. Step 3: Cross multiply
    218,444.30x = 327,710.16 × 68,722.28
  4. Step 4: Simplify right side
    218,444.30x = 22,520,989,374.36
  5. Step 5: Solve for x
    x = 22,520,989,374.36/218,444.30
  6. Step 6: Final answer
    x = 103,097.17

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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.