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Finding the Fourth Proportional to 231,205, 346,807.50 and 64,993

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Solution

The fourth proportional to 231,205, 346,807.50 and 64,993 is: 97,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,205 : 346,807.50 = 64,993 : x
  2. Step 2: Convert to fraction form
    231,205/346,807.50 = 64,993/x
  3. Step 3: Cross multiply
    231,205x = 346,807.50 × 64,993
  4. Step 4: Simplify right side
    231,205x = 22,540,059,847.50
  5. Step 5: Solve for x
    x = 22,540,059,847.50/231,205
  6. Step 6: Final answer
    x = 97,489.50

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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.