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Finding the Fourth Proportional to 213,868, 295,215.64 and 124,444

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Solution

The fourth proportional to 213,868, 295,215.64 and 124,444 is: 171,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,868 : 295,215.64 = 124,444 : x
  2. Step 2: Convert to fraction form
    213,868/295,215.64 = 124,444/x
  3. Step 3: Cross multiply
    213,868x = 295,215.64 × 124,444
  4. Step 4: Simplify right side
    213,868x = 36,737,815,104.16
  5. Step 5: Solve for x
    x = 36,737,815,104.16/213,868
  6. Step 6: Final answer
    x = 171,777.99

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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.