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Finding the Fourth Proportional to 99,889.92, 137,852.29 and 57,448.49

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Solution

The fourth proportional to 99,889.92, 137,852.29 and 57,448.49 is: 79,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,889.92 : 137,852.29 = 57,448.49 : x
  2. Step 2: Convert to fraction form
    99,889.92/137,852.29 = 57,448.49/x
  3. Step 3: Cross multiply
    99,889.92x = 137,852.29 × 57,448.49
  4. Step 4: Simplify right side
    99,889.92x = 7,919,405,616.30
  5. Step 5: Solve for x
    x = 7,919,405,616.30/99,889.92
  6. Step 6: Final answer
    x = 79,281.33

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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.