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Finding the Fourth Proportional to 206,123.90, 308,783.16 and 142,070.66

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Solution

The fourth proportional to 206,123.90, 308,783.16 and 142,070.66 is: 212,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,123.90 : 308,783.16 = 142,070.66 : x
  2. Step 2: Convert to fraction form
    206,123.90/308,783.16 = 142,070.66/x
  3. Step 3: Cross multiply
    206,123.90x = 308,783.16 × 142,070.66
  4. Step 4: Simplify right side
    206,123.90x = 43,869,027,338.09
  5. Step 5: Solve for x
    x = 43,869,027,338.09/206,123.90
  6. Step 6: Final answer
    x = 212,828.44

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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.