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Finding the Fourth Proportional to 54,080, 81,119.64 and 14,641.16

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Solution

The fourth proportional to 54,080, 81,119.64 and 14,641.16 is: 21,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,080 : 81,119.64 = 14,641.16 : x
  2. Step 2: Convert to fraction form
    54,080/81,119.64 = 14,641.16/x
  3. Step 3: Cross multiply
    54,080x = 81,119.64 × 14,641.16
  4. Step 4: Simplify right side
    54,080x = 1,187,685,628.38
  5. Step 5: Solve for x
    x = 1,187,685,628.38/54,080
  6. Step 6: Final answer
    x = 21,961.64

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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.