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Finding the Fourth Proportional to 119,118.67, 164,386.41 and 65,403.90

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Solution

The fourth proportional to 119,118.67, 164,386.41 and 65,403.90 is: 90,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,118.67 : 164,386.41 = 65,403.90 : x
  2. Step 2: Convert to fraction form
    119,118.67/164,386.41 = 65,403.90/x
  3. Step 3: Cross multiply
    119,118.67x = 164,386.41 × 65,403.90
  4. Step 4: Simplify right side
    119,118.67x = 10,751,512,360.78
  5. Step 5: Solve for x
    x = 10,751,512,360.78/119,118.67
  6. Step 6: Final answer
    x = 90,258.83

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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.