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Finding the Fourth Proportional to 270,057.81, 405,086.85 and 70,377.69

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Solution

The fourth proportional to 270,057.81, 405,086.85 and 70,377.69 is: 105,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,057.81 : 405,086.85 = 70,377.69 : x
  2. Step 2: Convert to fraction form
    270,057.81/405,086.85 = 70,377.69/x
  3. Step 3: Cross multiply
    270,057.81x = 405,086.85 × 70,377.69
  4. Step 4: Simplify right side
    270,057.81x = 28,509,076,752.38
  5. Step 5: Solve for x
    x = 28,509,076,752.38/270,057.81
  6. Step 6: Final answer
    x = 105,566.57

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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.