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Finding the Fourth Proportional to 86,965.71, 130,214.73 and 55,203.84

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Solution

The fourth proportional to 86,965.71, 130,214.73 and 55,203.84 is: 82,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,965.71 : 130,214.73 = 55,203.84 : x
  2. Step 2: Convert to fraction form
    86,965.71/130,214.73 = 55,203.84/x
  3. Step 3: Cross multiply
    86,965.71x = 130,214.73 × 55,203.84
  4. Step 4: Simplify right side
    86,965.71x = 7,188,353,120.56
  5. Step 5: Solve for x
    x = 7,188,353,120.56/86,965.71
  6. Step 6: Final answer
    x = 82,657.33

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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.