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Finding the Fourth Proportional to 81,197.56, 121,623.54 and 46,119.16

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Solution

The fourth proportional to 81,197.56, 121,623.54 and 46,119.16 is: 69,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197.56 : 121,623.54 = 46,119.16 : x
  2. Step 2: Convert to fraction form
    81,197.56/121,623.54 = 46,119.16/x
  3. Step 3: Cross multiply
    81,197.56x = 121,623.54 × 46,119.16
  4. Step 4: Simplify right side
    81,197.56x = 5,609,175,501.03
  5. Step 5: Solve for x
    x = 5,609,175,501.03/81,197.56
  6. Step 6: Final answer
    x = 69,080.59

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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.