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Finding the Fourth Proportional to 265,917.71, 398,880.08 and 83,542.56

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Solution

The fourth proportional to 265,917.71, 398,880.08 and 83,542.56 is: 125,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,917.71 : 398,880.08 = 83,542.56 : x
  2. Step 2: Convert to fraction form
    265,917.71/398,880.08 = 83,542.56/x
  3. Step 3: Cross multiply
    265,917.71x = 398,880.08 × 83,542.56
  4. Step 4: Simplify right side
    265,917.71x = 33,323,461,021.80
  5. Step 5: Solve for x
    x = 33,323,461,021.80/265,917.71
  6. Step 6: Final answer
    x = 125,314.94

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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.