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Finding the Fourth Proportional to 266,427.10, 367,665.10 and 145,565.80

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Solution

The fourth proportional to 266,427.10, 367,665.10 and 145,565.80 is: 200,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,427.10 : 367,665.10 = 145,565.80 : x
  2. Step 2: Convert to fraction form
    266,427.10/367,665.10 = 145,565.80/x
  3. Step 3: Cross multiply
    266,427.10x = 367,665.10 × 145,565.80
  4. Step 4: Simplify right side
    266,427.10x = 53,519,464,413.58
  5. Step 5: Solve for x
    x = 53,519,464,413.58/266,427.10
  6. Step 6: Final answer
    x = 200,878.46

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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.