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Finding the Fourth Proportional to 64,643.96, 89,208.42 and 37,781.12

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Solution

The fourth proportional to 64,643.96, 89,208.42 and 37,781.12 is: 52,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,643.96 : 89,208.42 = 37,781.12 : x
  2. Step 2: Convert to fraction form
    64,643.96/89,208.42 = 37,781.12/x
  3. Step 3: Cross multiply
    64,643.96x = 89,208.42 × 37,781.12
  4. Step 4: Simplify right side
    64,643.96x = 3,370,394,021.03
  5. Step 5: Solve for x
    x = 3,370,394,021.03/64,643.96
  6. Step 6: Final answer
    x = 52,137.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.