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Finding the Fourth Proportional to 265,835.79, 398,775.29 and 78,846.75

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Solution

The fourth proportional to 265,835.79, 398,775.29 and 78,846.75 is: 118,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,835.79 : 398,775.29 = 78,846.75 : x
  2. Step 2: Convert to fraction form
    265,835.79/398,775.29 = 78,846.75/x
  3. Step 3: Cross multiply
    265,835.79x = 398,775.29 × 78,846.75
  4. Step 4: Simplify right side
    265,835.79x = 31,442,135,202.57
  5. Step 5: Solve for x
    x = 31,442,135,202.57/265,835.79
  6. Step 6: Final answer
    x = 118,276.53

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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.