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Finding the Fourth Proportional to 109,405.80, 164,145.15 and 97,647.30

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Solution

The fourth proportional to 109,405.80, 164,145.15 and 97,647.30 is: 146,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,405.80 : 164,145.15 = 97,647.30 : x
  2. Step 2: Convert to fraction form
    109,405.80/164,145.15 = 97,647.30/x
  3. Step 3: Cross multiply
    109,405.80x = 164,145.15 × 97,647.30
  4. Step 4: Simplify right side
    109,405.80x = 16,028,330,705.60
  5. Step 5: Solve for x
    x = 16,028,330,705.60/109,405.80
  6. Step 6: Final answer
    x = 146,503.48

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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.