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Finding the Fourth Proportional to 265,847.96, 398,703.90 and 78,815.72

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Solution

The fourth proportional to 265,847.96, 398,703.90 and 78,815.72 is: 118,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,847.96 : 398,703.90 = 78,815.72 : x
  2. Step 2: Convert to fraction form
    265,847.96/398,703.90 = 78,815.72/x
  3. Step 3: Cross multiply
    265,847.96x = 398,703.90 × 78,815.72
  4. Step 4: Simplify right side
    265,847.96x = 31,424,134,945.31
  5. Step 5: Solve for x
    x = 31,424,134,945.31/265,847.96
  6. Step 6: Final answer
    x = 118,203.41

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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.