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Finding the Fourth Proportional to 57,143.40, 85,720.74 and 19,698.54

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Solution

The fourth proportional to 57,143.40, 85,720.74 and 19,698.54 is: 29,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143.40 : 85,720.74 = 19,698.54 : x
  2. Step 2: Convert to fraction form
    57,143.40/85,720.74 = 19,698.54/x
  3. Step 3: Cross multiply
    57,143.40x = 85,720.74 × 19,698.54
  4. Step 4: Simplify right side
    57,143.40x = 1,688,573,425.72
  5. Step 5: Solve for x
    x = 1,688,573,425.72/57,143.40
  6. Step 6: Final answer
    x = 29,549.75

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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.