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Finding the Fourth Proportional to 266,698.31, 368,028.77 and 145,815.53

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Solution

The fourth proportional to 266,698.31, 368,028.77 and 145,815.53 is: 201,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,698.31 : 368,028.77 = 145,815.53 : x
  2. Step 2: Convert to fraction form
    266,698.31/368,028.77 = 145,815.53/x
  3. Step 3: Cross multiply
    266,698.31x = 368,028.77 × 145,815.53
  4. Step 4: Simplify right side
    266,698.31x = 53,664,307,583.58
  5. Step 5: Solve for x
    x = 53,664,307,583.58/266,698.31
  6. Step 6: Final answer
    x = 201,217.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.