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Finding the Fourth Proportional to 275,866.74, 380,683.95 and 161,156.01

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Solution

The fourth proportional to 275,866.74, 380,683.95 and 161,156.01 is: 222,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,866.74 : 380,683.95 = 161,156.01 : x
  2. Step 2: Convert to fraction form
    275,866.74/380,683.95 = 161,156.01/x
  3. Step 3: Cross multiply
    275,866.74x = 380,683.95 × 161,156.01
  4. Step 4: Simplify right side
    275,866.74x = 61,349,504,970.75
  5. Step 5: Solve for x
    x = 61,349,504,970.75/275,866.74
  6. Step 6: Final answer
    x = 222,388.19

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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.