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Finding the Fourth Proportional to 86,528.32, 129,791.62 and 27,364

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Solution

The fourth proportional to 86,528.32, 129,791.62 and 27,364 is: 41,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,528.32 : 129,791.62 = 27,364 : x
  2. Step 2: Convert to fraction form
    86,528.32/129,791.62 = 27,364/x
  3. Step 3: Cross multiply
    86,528.32x = 129,791.62 × 27,364
  4. Step 4: Simplify right side
    86,528.32x = 3,551,617,752.86
  5. Step 5: Solve for x
    x = 3,551,617,752.86/86,528.32
  6. Step 6: Final answer
    x = 41,045.73

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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.