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Finding the Fourth Proportional to 86,806, 130,222 and 31,414.96

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Solution

The fourth proportional to 86,806, 130,222 and 31,414.96 is: 47,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,806 : 130,222 = 31,414.96 : x
  2. Step 2: Convert to fraction form
    86,806/130,222 = 31,414.96/x
  3. Step 3: Cross multiply
    86,806x = 130,222 × 31,414.96
  4. Step 4: Simplify right side
    86,806x = 4,090,918,921.12
  5. Step 5: Solve for x
    x = 4,090,918,921.12/86,806
  6. Step 6: Final answer
    x = 47,127.14

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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.