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Finding the Fourth Proportional to 121,107.48, 181,398.66 and 58,647

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Solution

The fourth proportional to 121,107.48, 181,398.66 and 58,647 is: 87,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,107.48 : 181,398.66 = 58,647 : x
  2. Step 2: Convert to fraction form
    121,107.48/181,398.66 = 58,647/x
  3. Step 3: Cross multiply
    121,107.48x = 181,398.66 × 58,647
  4. Step 4: Simplify right side
    121,107.48x = 10,638,487,213.02
  5. Step 5: Solve for x
    x = 10,638,487,213.02/121,107.48
  6. Step 6: Final answer
    x = 87,843.35

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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.