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Finding the Fourth Proportional to 119,102.76, 164,352.78 and 65,379.24

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Solution

The fourth proportional to 119,102.76, 164,352.78 and 65,379.24 is: 90,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,102.76 : 164,352.78 = 65,379.24 : x
  2. Step 2: Convert to fraction form
    119,102.76/164,352.78 = 65,379.24/x
  3. Step 3: Cross multiply
    119,102.76x = 164,352.78 × 65,379.24
  4. Step 4: Simplify right side
    119,102.76x = 10,745,259,848.29
  5. Step 5: Solve for x
    x = 10,745,259,848.29/119,102.76
  6. Step 6: Final answer
    x = 90,218.40

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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.