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Finding the Fourth Proportional to 54,812.31, 82,218.51 and 13,259.31

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Solution

The fourth proportional to 54,812.31, 82,218.51 and 13,259.31 is: 19,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,812.31 : 82,218.51 = 13,259.31 : x
  2. Step 2: Convert to fraction form
    54,812.31/82,218.51 = 13,259.31/x
  3. Step 3: Cross multiply
    54,812.31x = 82,218.51 × 13,259.31
  4. Step 4: Simplify right side
    54,812.31x = 1,090,160,711.83
  5. Step 5: Solve for x
    x = 1,090,160,711.83/54,812.31
  6. Step 6: Final answer
    x = 19,888.98

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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.