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Finding the Fourth Proportional to 57,417, 86,120.52 and 19,967.40

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Solution

The fourth proportional to 57,417, 86,120.52 and 19,967.40 is: 29,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,417 : 86,120.52 = 19,967.40 : x
  2. Step 2: Convert to fraction form
    57,417/86,120.52 = 19,967.40/x
  3. Step 3: Cross multiply
    57,417x = 86,120.52 × 19,967.40
  4. Step 4: Simplify right side
    57,417x = 1,719,602,871.05
  5. Step 5: Solve for x
    x = 1,719,602,871.05/57,417
  6. Step 6: Final answer
    x = 29,949.37

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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.