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Finding the Fourth Proportional to 208,838.20, 313,038.60 and 82,429.60

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Solution

The fourth proportional to 208,838.20, 313,038.60 and 82,429.60 is: 123,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,838.20 : 313,038.60 = 82,429.60 : x
  2. Step 2: Convert to fraction form
    208,838.20/313,038.60 = 82,429.60/x
  3. Step 3: Cross multiply
    208,838.20x = 313,038.60 × 82,429.60
  4. Step 4: Simplify right side
    208,838.20x = 25,803,646,582.56
  5. Step 5: Solve for x
    x = 25,803,646,582.56/208,838.20
  6. Step 6: Final answer
    x = 123,558.08

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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.