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Finding the Fourth Proportional to 54,199.95, 81,314.10 and 20,921.10

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Solution

The fourth proportional to 54,199.95, 81,314.10 and 20,921.10 is: 31,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,199.95 : 81,314.10 = 20,921.10 : x
  2. Step 2: Convert to fraction form
    54,199.95/81,314.10 = 20,921.10/x
  3. Step 3: Cross multiply
    54,199.95x = 81,314.10 × 20,921.10
  4. Step 4: Simplify right side
    54,199.95x = 1,701,180,417.51
  5. Step 5: Solve for x
    x = 1,701,180,417.51/54,199.95
  6. Step 6: Final answer
    x = 31,387.12

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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.