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Finding the Fourth Proportional to 114,929, 172,393.62 and 31,823

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Solution

The fourth proportional to 114,929, 172,393.62 and 31,823 is: 47,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,929 : 172,393.62 = 31,823 : x
  2. Step 2: Convert to fraction form
    114,929/172,393.62 = 31,823/x
  3. Step 3: Cross multiply
    114,929x = 172,393.62 × 31,823
  4. Step 4: Simplify right side
    114,929x = 5,486,082,169.26
  5. Step 5: Solve for x
    x = 5,486,082,169.26/114,929
  6. Step 6: Final answer
    x = 47,734.53

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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.