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Finding the Fourth Proportional to 99,794.24, 137,714.81 and 54,472.51

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Solution

The fourth proportional to 99,794.24, 137,714.81 and 54,472.51 is: 75,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,794.24 : 137,714.81 = 54,472.51 : x
  2. Step 2: Convert to fraction form
    99,794.24/137,714.81 = 54,472.51/x
  3. Step 3: Cross multiply
    99,794.24x = 137,714.81 × 54,472.51
  4. Step 4: Simplify right side
    99,794.24x = 7,501,671,364.87
  5. Step 5: Solve for x
    x = 7,501,671,364.87/99,794.24
  6. Step 6: Final answer
    x = 75,171.39

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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.