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Finding the Fourth Proportional to 54,043, 74,577.90 and 30,169

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Solution

The fourth proportional to 54,043, 74,577.90 and 30,169 is: 41,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,043 : 74,577.90 = 30,169 : x
  2. Step 2: Convert to fraction form
    54,043/74,577.90 = 30,169/x
  3. Step 3: Cross multiply
    54,043x = 74,577.90 × 30,169
  4. Step 4: Simplify right side
    54,043x = 2,249,940,665.10
  5. Step 5: Solve for x
    x = 2,249,940,665.10/54,043
  6. Step 6: Final answer
    x = 41,632.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.