Home / 109,633.10-164,121.60-97,823.30

Finding the Fourth Proportional to 109,633.10, 164,121.60 and 97,823.30

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Solution

The fourth proportional to 109,633.10, 164,121.60 and 97,823.30 is: 146,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,633.10 : 164,121.60 = 97,823.30 : x
  2. Step 2: Convert to fraction form
    109,633.10/164,121.60 = 97,823.30/x
  3. Step 3: Cross multiply
    109,633.10x = 164,121.60 × 97,823.30
  4. Step 4: Simplify right side
    109,633.10x = 16,054,916,513.28
  5. Step 5: Solve for x
    x = 16,054,916,513.28/109,633.10
  6. Step 6: Final answer
    x = 146,442.24

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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.