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Finding the Fourth Proportional to 119,574.09, 165,019.74 and 65,859.09

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Solution

The fourth proportional to 119,574.09, 165,019.74 and 65,859.09 is: 90,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,574.09 : 165,019.74 = 65,859.09 : x
  2. Step 2: Convert to fraction form
    119,574.09/165,019.74 = 65,859.09/x
  3. Step 3: Cross multiply
    119,574.09x = 165,019.74 × 65,859.09
  4. Step 4: Simplify right side
    119,574.09x = 10,868,049,661.47
  5. Step 5: Solve for x
    x = 10,868,049,661.47/119,574.09
  6. Step 6: Final answer
    x = 90,889.67

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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.