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Finding the Fourth Proportional to 265,767.74, 398,583.56 and 78,735.50

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Solution

The fourth proportional to 265,767.74, 398,583.56 and 78,735.50 is: 118,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,767.74 : 398,583.56 = 78,735.50 : x
  2. Step 2: Convert to fraction form
    265,767.74/398,583.56 = 78,735.50/x
  3. Step 3: Cross multiply
    265,767.74x = 398,583.56 × 78,735.50
  4. Step 4: Simplify right side
    265,767.74x = 31,382,675,888.38
  5. Step 5: Solve for x
    x = 31,382,675,888.38/265,767.74
  6. Step 6: Final answer
    x = 118,083.09

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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.