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Finding the Fourth Proportional to 57,719.32, 86,570.32 and 18,271.32

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Solution

The fourth proportional to 57,719.32, 86,570.32 and 18,271.32 is: 27,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,719.32 : 86,570.32 = 18,271.32 : x
  2. Step 2: Convert to fraction form
    57,719.32/86,570.32 = 18,271.32/x
  3. Step 3: Cross multiply
    57,719.32x = 86,570.32 × 18,271.32
  4. Step 4: Simplify right side
    57,719.32x = 1,581,754,019.22
  5. Step 5: Solve for x
    x = 1,581,754,019.22/57,719.32
  6. Step 6: Final answer
    x = 27,404.24

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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.