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Finding the Fourth Proportional to 86,880, 130,321.28 and 21,216

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Solution

The fourth proportional to 86,880, 130,321.28 and 21,216 is: 31,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,880 : 130,321.28 = 21,216 : x
  2. Step 2: Convert to fraction form
    86,880/130,321.28 = 21,216/x
  3. Step 3: Cross multiply
    86,880x = 130,321.28 × 21,216
  4. Step 4: Simplify right side
    86,880x = 2,764,896,276.48
  5. Step 5: Solve for x
    x = 2,764,896,276.48/86,880
  6. Step 6: Final answer
    x = 31,824.31

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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.