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Finding the Fourth Proportional to 54,907, 82,346.76 and 21,166.28

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Solution

The fourth proportional to 54,907, 82,346.76 and 21,166.28 is: 31,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,907 : 82,346.76 = 21,166.28 : x
  2. Step 2: Convert to fraction form
    54,907/82,346.76 = 21,166.28/x
  3. Step 3: Cross multiply
    54,907x = 82,346.76 × 21,166.28
  4. Step 4: Simplify right side
    54,907x = 1,742,974,579.25
  5. Step 5: Solve for x
    x = 1,742,974,579.25/54,907
  6. Step 6: Final answer
    x = 31,744.12

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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.