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Finding the Fourth Proportional to 206,666.84, 309,711.60 and 111,692.32

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Solution

The fourth proportional to 206,666.84, 309,711.60 and 111,692.32 is: 167,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,666.84 : 309,711.60 = 111,692.32 : x
  2. Step 2: Convert to fraction form
    206,666.84/309,711.60 = 111,692.32/x
  3. Step 3: Cross multiply
    206,666.84x = 309,711.60 × 111,692.32
  4. Step 4: Simplify right side
    206,666.84x = 34,592,406,360.63
  5. Step 5: Solve for x
    x = 34,592,406,360.63/206,666.84
  6. Step 6: Final answer
    x = 167,382.47

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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.