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Finding the Fourth Proportional to 89,715.30, 123,779.09 and 53,913.30

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Solution

The fourth proportional to 89,715.30, 123,779.09 and 53,913.30 is: 74,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,715.30 : 123,779.09 = 53,913.30 : x
  2. Step 2: Convert to fraction form
    89,715.30/123,779.09 = 53,913.30/x
  3. Step 3: Cross multiply
    89,715.30x = 123,779.09 × 53,913.30
  4. Step 4: Simplify right side
    89,715.30x = 6,673,339,212.90
  5. Step 5: Solve for x
    x = 6,673,339,212.90/89,715.30
  6. Step 6: Final answer
    x = 74,383.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.