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Finding the Fourth Proportional to 86,984, 130,439.09 and 30,838.24

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Solution

The fourth proportional to 86,984, 130,439.09 and 30,838.24 is: 46,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,984 : 130,439.09 = 30,838.24 : x
  2. Step 2: Convert to fraction form
    86,984/130,439.09 = 30,838.24/x
  3. Step 3: Cross multiply
    86,984x = 130,439.09 × 30,838.24
  4. Step 4: Simplify right side
    86,984x = 4,022,511,962.80
  5. Step 5: Solve for x
    x = 4,022,511,962.80/86,984
  6. Step 6: Final answer
    x = 46,244.27

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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.