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Finding the Fourth Proportional to 67,890.70, 101,795.14 and 30,444

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Solution

The fourth proportional to 67,890.70, 101,795.14 and 30,444 is: 45,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,890.70 : 101,795.14 = 30,444 : x
  2. Step 2: Convert to fraction form
    67,890.70/101,795.14 = 30,444/x
  3. Step 3: Cross multiply
    67,890.70x = 101,795.14 × 30,444
  4. Step 4: Simplify right side
    67,890.70x = 3,099,051,242.16
  5. Step 5: Solve for x
    x = 3,099,051,242.16/67,890.70
  6. Step 6: Final answer
    x = 45,647.65

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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.