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Finding the Fourth Proportional to 113,292, 170,016 and 39,420

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Solution

The fourth proportional to 113,292, 170,016 and 39,420 is: 59,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,292 : 170,016 = 39,420 : x
  2. Step 2: Convert to fraction form
    113,292/170,016 = 39,420/x
  3. Step 3: Cross multiply
    113,292x = 170,016 × 39,420
  4. Step 4: Simplify right side
    113,292x = 6,702,030,720
  5. Step 5: Solve for x
    x = 6,702,030,720/113,292
  6. Step 6: Final answer
    x = 59,157.14

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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.