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Finding the Fourth Proportional to 54,005.80, 81,008.70 and 30,386.20

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Solution

The fourth proportional to 54,005.80, 81,008.70 and 30,386.20 is: 45,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,005.80 : 81,008.70 = 30,386.20 : x
  2. Step 2: Convert to fraction form
    54,005.80/81,008.70 = 30,386.20/x
  3. Step 3: Cross multiply
    54,005.80x = 81,008.70 × 30,386.20
  4. Step 4: Simplify right side
    54,005.80x = 2,461,546,559.94
  5. Step 5: Solve for x
    x = 2,461,546,559.94/54,005.80
  6. Step 6: Final answer
    x = 45,579.30

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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.