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Finding the Fourth Proportional to 207,675.84, 311,061.30 and 136,518.12

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Solution

The fourth proportional to 207,675.84, 311,061.30 and 136,518.12 is: 204,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,675.84 : 311,061.30 = 136,518.12 : x
  2. Step 2: Convert to fraction form
    207,675.84/311,061.30 = 136,518.12/x
  3. Step 3: Cross multiply
    207,675.84x = 311,061.30 × 136,518.12
  4. Step 4: Simplify right side
    207,675.84x = 42,465,503,880.76
  5. Step 5: Solve for x
    x = 42,465,503,880.76/207,675.84
  6. Step 6: Final answer
    x = 204,479.75

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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.