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Finding the Fourth Proportional to 99,879.93, 137,838.36 and 57,438.48

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Solution

The fourth proportional to 99,879.93, 137,838.36 and 57,438.48 is: 79,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,879.93 : 137,838.36 = 57,438.48 : x
  2. Step 2: Convert to fraction form
    99,879.93/137,838.36 = 57,438.48/x
  3. Step 3: Cross multiply
    99,879.93x = 137,838.36 × 57,438.48
  4. Step 4: Simplify right side
    99,879.93x = 7,917,225,884.09
  5. Step 5: Solve for x
    x = 7,917,225,884.09/99,879.93
  6. Step 6: Final answer
    x = 79,267.44

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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.