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Finding the Fourth Proportional to 206,962.70, 310,516.95 and 101,711.30

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Solution

The fourth proportional to 206,962.70, 310,516.95 and 101,711.30 is: 152,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,962.70 : 310,516.95 = 101,711.30 : x
  2. Step 2: Convert to fraction form
    206,962.70/310,516.95 = 101,711.30/x
  3. Step 3: Cross multiply
    206,962.70x = 310,516.95 × 101,711.30
  4. Step 4: Simplify right side
    206,962.70x = 31,583,082,656.54
  5. Step 5: Solve for x
    x = 31,583,082,656.54/206,962.70
  6. Step 6: Final answer
    x = 152,602.78

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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.