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Finding the Fourth Proportional to 140,603.46, 210,861.42 and 40,770.56

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Solution

The fourth proportional to 140,603.46, 210,861.42 and 40,770.56 is: 61,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,603.46 : 210,861.42 = 40,770.56 : x
  2. Step 2: Convert to fraction form
    140,603.46/210,861.42 = 40,770.56/x
  3. Step 3: Cross multiply
    140,603.46x = 210,861.42 × 40,770.56
  4. Step 4: Simplify right side
    140,603.46x = 8,596,937,121.49
  5. Step 5: Solve for x
    x = 8,596,937,121.49/140,603.46
  6. Step 6: Final answer
    x = 61,143.14

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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.