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Finding the Fourth Proportional to 205,064.60, 307,308.90 and 163,016.60

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Solution

The fourth proportional to 205,064.60, 307,308.90 and 163,016.60 is: 244,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,064.60 : 307,308.90 = 163,016.60 : x
  2. Step 2: Convert to fraction form
    205,064.60/307,308.90 = 163,016.60/x
  3. Step 3: Cross multiply
    205,064.60x = 307,308.90 × 163,016.60
  4. Step 4: Simplify right side
    205,064.60x = 50,096,452,027.74
  5. Step 5: Solve for x
    x = 50,096,452,027.74/205,064.60
  6. Step 6: Final answer
    x = 244,295.95

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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.