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Finding the Fourth Proportional to 85,964.96, 128,906.76 and 31,911.89

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Solution

The fourth proportional to 85,964.96, 128,906.76 and 31,911.89 is: 47,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,964.96 : 128,906.76 = 31,911.89 : x
  2. Step 2: Convert to fraction form
    85,964.96/128,906.76 = 31,911.89/x
  3. Step 3: Cross multiply
    85,964.96x = 128,906.76 × 31,911.89
  4. Step 4: Simplify right side
    85,964.96x = 4,113,657,700.84
  5. Step 5: Solve for x
    x = 4,113,657,700.84/85,964.96
  6. Step 6: Final answer
    x = 47,852.73

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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.