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Finding the Fourth Proportional to 265,725.24, 398,519.76 and 78,693

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Solution

The fourth proportional to 265,725.24, 398,519.76 and 78,693 is: 118,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,725.24 : 398,519.76 = 78,693 : x
  2. Step 2: Convert to fraction form
    265,725.24/398,519.76 = 78,693/x
  3. Step 3: Cross multiply
    265,725.24x = 398,519.76 × 78,693
  4. Step 4: Simplify right side
    265,725.24x = 31,360,715,473.68
  5. Step 5: Solve for x
    x = 31,360,715,473.68/265,725.24
  6. Step 6: Final answer
    x = 118,019.33

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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.