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Finding the Fourth Proportional to 206,495.04, 309,741.60 and 136,357.60

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Solution

The fourth proportional to 206,495.04, 309,741.60 and 136,357.60 is: 204,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,495.04 : 309,741.60 = 136,357.60 : x
  2. Step 2: Convert to fraction form
    206,495.04/309,741.60 = 136,357.60/x
  3. Step 3: Cross multiply
    206,495.04x = 309,741.60 × 136,357.60
  4. Step 4: Simplify right side
    206,495.04x = 42,235,621,196.16
  5. Step 5: Solve for x
    x = 42,235,621,196.16/206,495.04
  6. Step 6: Final answer
    x = 204,535.77

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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.