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Finding the Fourth Proportional to 206,966.60, 310,389.93 and 80,578.67

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Solution

The fourth proportional to 206,966.60, 310,389.93 and 80,578.67 is: 120,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,966.60 : 310,389.93 = 80,578.67 : x
  2. Step 2: Convert to fraction form
    206,966.60/310,389.93 = 80,578.67/x
  3. Step 3: Cross multiply
    206,966.60x = 310,389.93 × 80,578.67
  4. Step 4: Simplify right side
    206,966.60x = 25,010,808,516.77
  5. Step 5: Solve for x
    x = 25,010,808,516.77/206,966.60
  6. Step 6: Final answer
    x = 120,844.66

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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.