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Finding the Fourth Proportional to 119,119.36, 164,386.88 and 65,409.44

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Solution

The fourth proportional to 119,119.36, 164,386.88 and 65,409.44 is: 90,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,119.36 : 164,386.88 = 65,409.44 : x
  2. Step 2: Convert to fraction form
    119,119.36/164,386.88 = 65,409.44/x
  3. Step 3: Cross multiply
    119,119.36x = 164,386.88 × 65,409.44
  4. Step 4: Simplify right side
    119,119.36x = 10,752,453,764.15
  5. Step 5: Solve for x
    x = 10,752,453,764.15/119,119.36
  6. Step 6: Final answer
    x = 90,266.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.