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Finding the Fourth Proportional to 205,368.16, 308,063.20 and 65,137.60

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Solution

The fourth proportional to 205,368.16, 308,063.20 and 65,137.60 is: 97,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,368.16 : 308,063.20 = 65,137.60 : x
  2. Step 2: Convert to fraction form
    205,368.16/308,063.20 = 65,137.60/x
  3. Step 3: Cross multiply
    205,368.16x = 308,063.20 × 65,137.60
  4. Step 4: Simplify right side
    205,368.16x = 20,066,497,496.32
  5. Step 5: Solve for x
    x = 20,066,497,496.32/205,368.16
  6. Step 6: Final answer
    x = 97,709.88

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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.