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Finding the Fourth Proportional to 266,413.05, 367,639.10 and 145,558.52

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Solution

The fourth proportional to 266,413.05, 367,639.10 and 145,558.52 is: 200,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,413.05 : 367,639.10 = 145,558.52 : x
  2. Step 2: Convert to fraction form
    266,413.05/367,639.10 = 145,558.52/x
  3. Step 3: Cross multiply
    266,413.05x = 367,639.10 × 145,558.52
  4. Step 4: Simplify right side
    266,413.05x = 53,513,000,724.14
  5. Step 5: Solve for x
    x = 53,513,000,724.14/266,413.05
  6. Step 6: Final answer
    x = 200,864.79

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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.