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Finding the Fourth Proportional to 205,196.60, 307,823.70 and 64,940.60

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Solution

The fourth proportional to 205,196.60, 307,823.70 and 64,940.60 is: 97,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,196.60 : 307,823.70 = 64,940.60 : x
  2. Step 2: Convert to fraction form
    205,196.60/307,823.70 = 64,940.60/x
  3. Step 3: Cross multiply
    205,196.60x = 307,823.70 × 64,940.60
  4. Step 4: Simplify right side
    205,196.60x = 19,990,255,772.22
  5. Step 5: Solve for x
    x = 19,990,255,772.22/205,196.60
  6. Step 6: Final answer
    x = 97,420.01

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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.