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Finding the Fourth Proportional to 89,026, 133,347.02 and 83,791.78

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Solution

The fourth proportional to 89,026, 133,347.02 and 83,791.78 is: 125,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,026 : 133,347.02 = 83,791.78 : x
  2. Step 2: Convert to fraction form
    89,026/133,347.02 = 83,791.78/x
  3. Step 3: Cross multiply
    89,026x = 133,347.02 × 83,791.78
  4. Step 4: Simplify right side
    89,026x = 11,173,384,163.50
  5. Step 5: Solve for x
    x = 11,173,384,163.50/89,026
  6. Step 6: Final answer
    x = 125,506.98

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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.