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Finding the Fourth Proportional to 255,120.66, 382,735.94 and 77,641.97

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Solution

The fourth proportional to 255,120.66, 382,735.94 and 77,641.97 is: 116,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,120.66 : 382,735.94 = 77,641.97 : x
  2. Step 2: Convert to fraction form
    255,120.66/382,735.94 = 77,641.97/x
  3. Step 3: Cross multiply
    255,120.66x = 382,735.94 × 77,641.97
  4. Step 4: Simplify right side
    255,120.66x = 29,716,370,069.51
  5. Step 5: Solve for x
    x = 29,716,370,069.51/255,120.66
  6. Step 6: Final answer
    x = 116,479.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.