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Finding the Fourth Proportional to 86,643.54, 119,518.21 and 52,164.31

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Solution

The fourth proportional to 86,643.54, 119,518.21 and 52,164.31 is: 71,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,643.54 : 119,518.21 = 52,164.31 : x
  2. Step 2: Convert to fraction form
    86,643.54/119,518.21 = 52,164.31/x
  3. Step 3: Cross multiply
    86,643.54x = 119,518.21 × 52,164.31
  4. Step 4: Simplify right side
    86,643.54x = 6,234,584,723.49
  5. Step 5: Solve for x
    x = 6,234,584,723.49/86,643.54
  6. Step 6: Final answer
    x = 71,956.71

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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.