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Finding the Fourth Proportional to 265,784.25, 398,742 and 78,795.75

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Solution

The fourth proportional to 265,784.25, 398,742 and 78,795.75 is: 118,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,784.25 : 398,742 = 78,795.75 : x
  2. Step 2: Convert to fraction form
    265,784.25/398,742 = 78,795.75/x
  3. Step 3: Cross multiply
    265,784.25x = 398,742 × 78,795.75
  4. Step 4: Simplify right side
    265,784.25x = 31,419,174,946.50
  5. Step 5: Solve for x
    x = 31,419,174,946.50/265,784.25
  6. Step 6: Final answer
    x = 118,213.08

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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.