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Finding the Fourth Proportional to 64,720.08, 89,289.34 and 37,854

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Solution

The fourth proportional to 64,720.08, 89,289.34 and 37,854 is: 52,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,720.08 : 89,289.34 = 37,854 : x
  2. Step 2: Convert to fraction form
    64,720.08/89,289.34 = 37,854/x
  3. Step 3: Cross multiply
    64,720.08x = 89,289.34 × 37,854
  4. Step 4: Simplify right side
    64,720.08x = 3,379,958,676.36
  5. Step 5: Solve for x
    x = 3,379,958,676.36/64,720.08
  6. Step 6: Final answer
    x = 52,224.27

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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.