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Finding the Fourth Proportional to 82,590, 123,889.68 and 23,421

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Solution

The fourth proportional to 82,590, 123,889.68 and 23,421 is: 35,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,590 : 123,889.68 = 23,421 : x
  2. Step 2: Convert to fraction form
    82,590/123,889.68 = 23,421/x
  3. Step 3: Cross multiply
    82,590x = 123,889.68 × 23,421
  4. Step 4: Simplify right side
    82,590x = 2,901,620,195.28
  5. Step 5: Solve for x
    x = 2,901,620,195.28/82,590
  6. Step 6: Final answer
    x = 35,132.83

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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.