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Finding the Fourth Proportional to 74,804, 112,119.92 and 30,382

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Solution

The fourth proportional to 74,804, 112,119.92 and 30,382 is: 45,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,804 : 112,119.92 = 30,382 : x
  2. Step 2: Convert to fraction form
    74,804/112,119.92 = 30,382/x
  3. Step 3: Cross multiply
    74,804x = 112,119.92 × 30,382
  4. Step 4: Simplify right side
    74,804x = 3,406,427,409.44
  5. Step 5: Solve for x
    x = 3,406,427,409.44/74,804
  6. Step 6: Final answer
    x = 45,538.04

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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.