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Finding the Fourth Proportional to 119,815, 165,344.70 and 66,823

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Solution

The fourth proportional to 119,815, 165,344.70 and 66,823 is: 92,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,815 : 165,344.70 = 66,823 : x
  2. Step 2: Convert to fraction form
    119,815/165,344.70 = 66,823/x
  3. Step 3: Cross multiply
    119,815x = 165,344.70 × 66,823
  4. Step 4: Simplify right side
    119,815x = 11,048,828,888.10
  5. Step 5: Solve for x
    x = 11,048,828,888.10/119,815
  6. Step 6: Final answer
    x = 92,215.74

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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.