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Finding the Fourth Proportional to 205,169.60, 307,783.20 and 64,913.60

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Solution

The fourth proportional to 205,169.60, 307,783.20 and 64,913.60 is: 97,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,169.60 : 307,783.20 = 64,913.60 : x
  2. Step 2: Convert to fraction form
    205,169.60/307,783.20 = 64,913.60/x
  3. Step 3: Cross multiply
    205,169.60x = 307,783.20 × 64,913.60
  4. Step 4: Simplify right side
    205,169.60x = 19,979,315,531.52
  5. Step 5: Solve for x
    x = 19,979,315,531.52/205,169.60
  6. Step 6: Final answer
    x = 97,379.51

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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.