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Finding the Fourth Proportional to 74,580, 111,885.36 and 30,804

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Solution

The fourth proportional to 74,580, 111,885.36 and 30,804 is: 46,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,580 : 111,885.36 = 30,804 : x
  2. Step 2: Convert to fraction form
    74,580/111,885.36 = 30,804/x
  3. Step 3: Cross multiply
    74,580x = 111,885.36 × 30,804
  4. Step 4: Simplify right side
    74,580x = 3,446,516,629.44
  5. Step 5: Solve for x
    x = 3,446,516,629.44/74,580
  6. Step 6: Final answer
    x = 46,212.34

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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.