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Finding the Fourth Proportional to 205,515, 308,272.50 and 57,771

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Solution

The fourth proportional to 205,515, 308,272.50 and 57,771 is: 86,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,515 : 308,272.50 = 57,771 : x
  2. Step 2: Convert to fraction form
    205,515/308,272.50 = 57,771/x
  3. Step 3: Cross multiply
    205,515x = 308,272.50 × 57,771
  4. Step 4: Simplify right side
    205,515x = 17,809,210,597.50
  5. Step 5: Solve for x
    x = 17,809,210,597.50/205,515
  6. Step 6: Final answer
    x = 86,656.50

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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.