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Finding the Fourth Proportional to 205,497.13, 308,245.69 and 57,753.13

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Solution

The fourth proportional to 205,497.13, 308,245.69 and 57,753.13 is: 86,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,497.13 : 308,245.69 = 57,753.13 : x
  2. Step 2: Convert to fraction form
    205,497.13/308,245.69 = 57,753.13/x
  3. Step 3: Cross multiply
    205,497.13x = 308,245.69 × 57,753.13
  4. Step 4: Simplify right side
    205,497.13x = 17,802,153,406.51
  5. Step 5: Solve for x
    x = 17,802,153,406.51/205,497.13
  6. Step 6: Final answer
    x = 86,629.69

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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.