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Finding the Fourth Proportional to 119,941, 165,533.16 and 69,640

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Solution

The fourth proportional to 119,941, 165,533.16 and 69,640 is: 96,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,941 : 165,533.16 = 69,640 : x
  2. Step 2: Convert to fraction form
    119,941/165,533.16 = 69,640/x
  3. Step 3: Cross multiply
    119,941x = 165,533.16 × 69,640
  4. Step 4: Simplify right side
    119,941x = 11,527,729,262.40
  5. Step 5: Solve for x
    x = 11,527,729,262.40/119,941
  6. Step 6: Final answer
    x = 96,111.67

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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.