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Finding the Fourth Proportional to 99,764, 137,674.32 and 55,052

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Solution

The fourth proportional to 99,764, 137,674.32 and 55,052 is: 75,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,764 : 137,674.32 = 55,052 : x
  2. Step 2: Convert to fraction form
    99,764/137,674.32 = 55,052/x
  3. Step 3: Cross multiply
    99,764x = 137,674.32 × 55,052
  4. Step 4: Simplify right side
    99,764x = 7,579,246,664.64
  5. Step 5: Solve for x
    x = 7,579,246,664.64/99,764
  6. Step 6: Final answer
    x = 75,971.76

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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.