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Finding the Fourth Proportional to 74,675.80, 111,927.30 and 30,280.60

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Solution

The fourth proportional to 74,675.80, 111,927.30 and 30,280.60 is: 45,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,675.80 : 111,927.30 = 30,280.60 : x
  2. Step 2: Convert to fraction form
    74,675.80/111,927.30 = 30,280.60/x
  3. Step 3: Cross multiply
    74,675.80x = 111,927.30 × 30,280.60
  4. Step 4: Simplify right side
    74,675.80x = 3,389,225,800.38
  5. Step 5: Solve for x
    x = 3,389,225,800.38/74,675.80
  6. Step 6: Final answer
    x = 45,385.87

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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.