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Finding the Fourth Proportional to 214,889.89, 322,399.23 and 86,740.20

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Solution

The fourth proportional to 214,889.89, 322,399.23 and 86,740.20 is: 130,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,889.89 : 322,399.23 = 86,740.20 : x
  2. Step 2: Convert to fraction form
    214,889.89/322,399.23 = 86,740.20/x
  3. Step 3: Cross multiply
    214,889.89x = 322,399.23 × 86,740.20
  4. Step 4: Simplify right side
    214,889.89x = 27,964,973,690.05
  5. Step 5: Solve for x
    x = 27,964,973,690.05/214,889.89
  6. Step 6: Final answer
    x = 130,136.29

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1.5x scale

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.