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Finding the Fourth Proportional to 205,513, 308,269.50 and 57,769

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Solution

The fourth proportional to 205,513, 308,269.50 and 57,769 is: 86,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513 : 308,269.50 = 57,769 : x
  2. Step 2: Convert to fraction form
    205,513/308,269.50 = 57,769/x
  3. Step 3: Cross multiply
    205,513x = 308,269.50 × 57,769
  4. Step 4: Simplify right side
    205,513x = 17,808,420,745.50
  5. Step 5: Solve for x
    x = 17,808,420,745.50/205,513
  6. Step 6: Final answer
    x = 86,653.50

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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.