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Finding the Fourth Proportional to 57,089.90, 85,643.03 and 17,650.09

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Solution

The fourth proportional to 57,089.90, 85,643.03 and 17,650.09 is: 26,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,089.90 : 85,643.03 = 17,650.09 : x
  2. Step 2: Convert to fraction form
    57,089.90/85,643.03 = 17,650.09/x
  3. Step 3: Cross multiply
    57,089.90x = 85,643.03 × 17,650.09
  4. Step 4: Simplify right side
    57,089.90x = 1,511,607,017.39
  5. Step 5: Solve for x
    x = 1,511,607,017.39/57,089.90
  6. Step 6: Final answer
    x = 26,477.66

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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.