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Finding the Fourth Proportional to 140,672.30, 210,975.33 and 40,806.14

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Solution

The fourth proportional to 140,672.30, 210,975.33 and 40,806.14 is: 61,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,672.30 : 210,975.33 = 40,806.14 : x
  2. Step 2: Convert to fraction form
    140,672.30/210,975.33 = 40,806.14/x
  3. Step 3: Cross multiply
    140,672.30x = 210,975.33 × 40,806.14
  4. Step 4: Simplify right side
    140,672.30x = 8,609,088,852.53
  5. Step 5: Solve for x
    x = 8,609,088,852.53/140,672.30
  6. Step 6: Final answer
    x = 61,199.60

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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.