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Finding the Fourth Proportional to 205,822.51, 308,610.74 and 79,357.88

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Solution

The fourth proportional to 205,822.51, 308,610.74 and 79,357.88 is: 118,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,822.51 : 308,610.74 = 79,357.88 : x
  2. Step 2: Convert to fraction form
    205,822.51/308,610.74 = 79,357.88/x
  3. Step 3: Cross multiply
    205,822.51x = 308,610.74 × 79,357.88
  4. Step 4: Simplify right side
    205,822.51x = 24,490,695,041.55
  5. Step 5: Solve for x
    x = 24,490,695,041.55/205,822.51
  6. Step 6: Final answer
    x = 118,989.39

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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.