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Finding the Fourth Proportional to 57,321, 85,986.36 and 15,768

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Solution

The fourth proportional to 57,321, 85,986.36 and 15,768 is: 23,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,321 : 85,986.36 = 15,768 : x
  2. Step 2: Convert to fraction form
    57,321/85,986.36 = 15,768/x
  3. Step 3: Cross multiply
    57,321x = 85,986.36 × 15,768
  4. Step 4: Simplify right side
    57,321x = 1,355,832,924.48
  5. Step 5: Solve for x
    x = 1,355,832,924.48/57,321
  6. Step 6: Final answer
    x = 23,653.34

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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.