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Finding the Fourth Proportional to 259,953.18, 389,929.80 and 72,959.82

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Solution

The fourth proportional to 259,953.18, 389,929.80 and 72,959.82 is: 109,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,953.18 : 389,929.80 = 72,959.82 : x
  2. Step 2: Convert to fraction form
    259,953.18/389,929.80 = 72,959.82/x
  3. Step 3: Cross multiply
    259,953.18x = 389,929.80 × 72,959.82
  4. Step 4: Simplify right side
    259,953.18x = 28,449,208,020.64
  5. Step 5: Solve for x
    x = 28,449,208,020.64/259,953.18
  6. Step 6: Final answer
    x = 109,439.74

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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.