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Finding the Fourth Proportional to 230,298, 345,298.56 and 97,142.64

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Solution

The fourth proportional to 230,298, 345,298.56 and 97,142.64 is: 145,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,298 : 345,298.56 = 97,142.64 : x
  2. Step 2: Convert to fraction form
    230,298/345,298.56 = 97,142.64/x
  3. Step 3: Cross multiply
    230,298x = 345,298.56 × 97,142.64
  4. Step 4: Simplify right side
    230,298x = 33,543,213,706.60
  5. Step 5: Solve for x
    x = 33,543,213,706.60/230,298
  6. Step 6: Final answer
    x = 145,651.35

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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.