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Finding the Fourth Proportional to 265,827.24, 398,672.76 and 78,795

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Solution

The fourth proportional to 265,827.24, 398,672.76 and 78,795 is: 118,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,827.24 : 398,672.76 = 78,795 : x
  2. Step 2: Convert to fraction form
    265,827.24/398,672.76 = 78,795/x
  3. Step 3: Cross multiply
    265,827.24x = 398,672.76 × 78,795
  4. Step 4: Simplify right side
    265,827.24x = 31,413,420,124.20
  5. Step 5: Solve for x
    x = 31,413,420,124.20/265,827.24
  6. Step 6: Final answer
    x = 118,172.31

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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.