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Finding the Fourth Proportional to 209,136.58, 313,485.56 and 102,373.32

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Solution

The fourth proportional to 209,136.58, 313,485.56 and 102,373.32 is: 153,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,136.58 : 313,485.56 = 102,373.32 : x
  2. Step 2: Convert to fraction form
    209,136.58/313,485.56 = 102,373.32/x
  3. Step 3: Cross multiply
    209,136.58x = 313,485.56 × 102,373.32
  4. Step 4: Simplify right side
    209,136.58x = 32,092,557,549.26
  5. Step 5: Solve for x
    x = 32,092,557,549.26/209,136.58
  6. Step 6: Final answer
    x = 153,452.63

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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.