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Finding the Fourth Proportional to 99,728.64, 137,623.68 and 55,015.68

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Solution

The fourth proportional to 99,728.64, 137,623.68 and 55,015.68 is: 75,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,728.64 : 137,623.68 = 55,015.68 : x
  2. Step 2: Convert to fraction form
    99,728.64/137,623.68 = 55,015.68/x
  3. Step 3: Cross multiply
    99,728.64x = 137,623.68 × 55,015.68
  4. Step 4: Simplify right side
    99,728.64x = 7,571,460,339.30
  5. Step 5: Solve for x
    x = 7,571,460,339.30/99,728.64
  6. Step 6: Final answer
    x = 75,920.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.