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Finding the Fourth Proportional to 114,822, 172,239.60 and 40,950

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Solution

The fourth proportional to 114,822, 172,239.60 and 40,950 is: 61,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,822 : 172,239.60 = 40,950 : x
  2. Step 2: Convert to fraction form
    114,822/172,239.60 = 40,950/x
  3. Step 3: Cross multiply
    114,822x = 172,239.60 × 40,950
  4. Step 4: Simplify right side
    114,822x = 7,053,211,620
  5. Step 5: Solve for x
    x = 7,053,211,620/114,822
  6. Step 6: Final answer
    x = 61,427.35

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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.