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Finding the Fourth Proportional to 85,475.31, 128,241.51 and 53,848.86

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Solution

The fourth proportional to 85,475.31, 128,241.51 and 53,848.86 is: 80,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,475.31 : 128,241.51 = 53,848.86 : x
  2. Step 2: Convert to fraction form
    85,475.31/128,241.51 = 53,848.86/x
  3. Step 3: Cross multiply
    85,475.31x = 128,241.51 × 53,848.86
  4. Step 4: Simplify right side
    85,475.31x = 6,905,659,118.18
  5. Step 5: Solve for x
    x = 6,905,659,118.18/85,475.31
  6. Step 6: Final answer
    x = 80,791.27

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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.