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Finding the Fourth Proportional to 265,120.96, 397,638.46 and 85,197.88

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Solution

The fourth proportional to 265,120.96, 397,638.46 and 85,197.88 is: 127,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,120.96 : 397,638.46 = 85,197.88 : x
  2. Step 2: Convert to fraction form
    265,120.96/397,638.46 = 85,197.88/x
  3. Step 3: Cross multiply
    265,120.96x = 397,638.46 × 85,197.88
  4. Step 4: Simplify right side
    265,120.96x = 33,877,953,798.46
  5. Step 5: Solve for x
    x = 33,877,953,798.46/265,120.96
  6. Step 6: Final answer
    x = 127,783.01

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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.