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Finding the Fourth Proportional to 131,238, 181,114.92 and 74,654.64

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Solution

The fourth proportional to 131,238, 181,114.92 and 74,654.64 is: 103,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,238 : 181,114.92 = 74,654.64 : x
  2. Step 2: Convert to fraction form
    131,238/181,114.92 = 74,654.64/x
  3. Step 3: Cross multiply
    131,238x = 181,114.92 × 74,654.64
  4. Step 4: Simplify right side
    131,238x = 13,521,069,151.23
  5. Step 5: Solve for x
    x = 13,521,069,151.23/131,238
  6. Step 6: Final answer
    x = 103,027.09

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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.