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Finding the Fourth Proportional to 123,995, 185,992.60 and 40,889

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Solution

The fourth proportional to 123,995, 185,992.60 and 40,889 is: 61,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,995 : 185,992.60 = 40,889 : x
  2. Step 2: Convert to fraction form
    123,995/185,992.60 = 40,889/x
  3. Step 3: Cross multiply
    123,995x = 185,992.60 × 40,889
  4. Step 4: Simplify right side
    123,995x = 7,605,051,421.40
  5. Step 5: Solve for x
    x = 7,605,051,421.40/123,995
  6. Step 6: Final answer
    x = 61,333.53

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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.