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Finding the Fourth Proportional to 119,148.68, 164,315.48 and 80,965.47

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Solution

The fourth proportional to 119,148.68, 164,315.48 and 80,965.47 is: 111,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,148.68 : 164,315.48 = 80,965.47 : x
  2. Step 2: Convert to fraction form
    119,148.68/164,315.48 = 80,965.47/x
  3. Step 3: Cross multiply
    119,148.68x = 164,315.48 × 80,965.47
  4. Step 4: Simplify right side
    119,148.68x = 13,303,879,661.65
  5. Step 5: Solve for x
    x = 13,303,879,661.65/119,148.68
  6. Step 6: Final answer
    x = 111,657.81

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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.