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Finding the Fourth Proportional to 114,121.69, 171,149.06 and 42,993

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Solution

The fourth proportional to 114,121.69, 171,149.06 and 42,993 is: 64,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,121.69 : 171,149.06 = 42,993 : x
  2. Step 2: Convert to fraction form
    114,121.69/171,149.06 = 42,993/x
  3. Step 3: Cross multiply
    114,121.69x = 171,149.06 × 42,993
  4. Step 4: Simplify right side
    114,121.69x = 7,358,211,644.06
  5. Step 5: Solve for x
    x = 7,358,211,644.06/114,121.69
  6. Step 6: Final answer
    x = 64,476.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.