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Finding the Fourth Proportional to 20,133.31, 30,167.06 and 10,259.00

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Solution

The fourth proportional to 20,133.31, 30,167.06 and 10,259.00 is: 15,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.31 : 30,167.06 = 10,259.00 : x
  2. Step 2: Convert to fraction form
    20,133.31/30,167.06 = 10,259.00/x
  3. Step 3: Cross multiply
    20,133.31x = 30,167.06 × 10,259.00
  4. Step 4: Simplify right side
    20,133.31x = 309,483,892.66
  5. Step 5: Solve for x
    x = 309,483,892.66/20,133.31
  6. Step 6: Final answer
    x = 15,371.74

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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.