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Finding the Fourth Proportional to 109,424.70, 164,137.01 and 84,501.09

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Solution

The fourth proportional to 109,424.70, 164,137.01 and 84,501.09 is: 126,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,424.70 : 164,137.01 = 84,501.09 : x
  2. Step 2: Convert to fraction form
    109,424.70/164,137.01 = 84,501.09/x
  3. Step 3: Cross multiply
    109,424.70x = 164,137.01 × 84,501.09
  4. Step 4: Simplify right side
    109,424.70x = 13,869,756,254.34
  5. Step 5: Solve for x
    x = 13,869,756,254.34/109,424.70
  6. Step 6: Final answer
    x = 126,751.60

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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.