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Finding the Fourth Proportional to 57,143.88, 85,721.49 and 19,698.93

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Solution

The fourth proportional to 57,143.88, 85,721.49 and 19,698.93 is: 29,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143.88 : 85,721.49 = 19,698.93 : x
  2. Step 2: Convert to fraction form
    57,143.88/85,721.49 = 19,698.93/x
  3. Step 3: Cross multiply
    57,143.88x = 85,721.49 × 19,698.93
  4. Step 4: Simplify right side
    57,143.88x = 1,688,621,631.01
  5. Step 5: Solve for x
    x = 1,688,621,631.01/57,143.88
  6. Step 6: Final answer
    x = 29,550.35

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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.