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Finding the Fourth Proportional to 205,367.51, 308,027.91 and 55,619.47

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Solution

The fourth proportional to 205,367.51, 308,027.91 and 55,619.47 is: 83,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,367.51 : 308,027.91 = 55,619.47 : x
  2. Step 2: Convert to fraction form
    205,367.51/308,027.91 = 55,619.47/x
  3. Step 3: Cross multiply
    205,367.51x = 308,027.91 × 55,619.47
  4. Step 4: Simplify right side
    205,367.51x = 17,132,349,693.02
  5. Step 5: Solve for x
    x = 17,132,349,693.02/205,367.51
  6. Step 6: Final answer
    x = 83,422.88

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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.