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Finding the Fourth Proportional to 263,136, 363,136.32 and 143,904

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Solution

The fourth proportional to 263,136, 363,136.32 and 143,904 is: 198,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,136 : 363,136.32 = 143,904 : x
  2. Step 2: Convert to fraction form
    263,136/363,136.32 = 143,904/x
  3. Step 3: Cross multiply
    263,136x = 363,136.32 × 143,904
  4. Step 4: Simplify right side
    263,136x = 52,256,768,993.28
  5. Step 5: Solve for x
    x = 52,256,768,993.28/263,136
  6. Step 6: Final answer
    x = 198,592.25

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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.