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Finding the Fourth Proportional to 214,891.89, 322,402.23 and 86,742.20

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Solution

The fourth proportional to 214,891.89, 322,402.23 and 86,742.20 is: 130,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,891.89 : 322,402.23 = 86,742.20 : x
  2. Step 2: Convert to fraction form
    214,891.89/322,402.23 = 86,742.20/x
  3. Step 3: Cross multiply
    214,891.89x = 322,402.23 × 86,742.20
  4. Step 4: Simplify right side
    214,891.89x = 27,965,878,715.11
  5. Step 5: Solve for x
    x = 27,965,878,715.11/214,891.89
  6. Step 6: Final answer
    x = 130,139.29

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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.