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Finding the Fourth Proportional to 131,580, 181,581.12 and 71,964

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Solution

The fourth proportional to 131,580, 181,581.12 and 71,964 is: 99,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,580 : 181,581.12 = 71,964 : x
  2. Step 2: Convert to fraction form
    131,580/181,581.12 = 71,964/x
  3. Step 3: Cross multiply
    131,580x = 181,581.12 × 71,964
  4. Step 4: Simplify right side
    131,580x = 13,067,303,719.68
  5. Step 5: Solve for x
    x = 13,067,303,719.68/131,580
  6. Step 6: Final answer
    x = 99,310.71

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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.