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Finding the Fourth Proportional to 205,970.32, 308,960.88 and 65,728.81

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Solution

The fourth proportional to 205,970.32, 308,960.88 and 65,728.81 is: 98,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,970.32 : 308,960.88 = 65,728.81 : x
  2. Step 2: Convert to fraction form
    205,970.32/308,960.88 = 65,728.81/x
  3. Step 3: Cross multiply
    205,970.32x = 308,960.88 × 65,728.81
  4. Step 4: Simplify right side
    205,970.32x = 20,307,630,978.95
  5. Step 5: Solve for x
    x = 20,307,630,978.95/205,970.32
  6. Step 6: Final answer
    x = 98,594.94

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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.