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Finding the Fourth Proportional to 259,163.58, 388,479.03 and 99,202

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Solution

The fourth proportional to 259,163.58, 388,479.03 and 99,202 is: 148,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,163.58 : 388,479.03 = 99,202 : x
  2. Step 2: Convert to fraction form
    259,163.58/388,479.03 = 99,202/x
  3. Step 3: Cross multiply
    259,163.58x = 388,479.03 × 99,202
  4. Step 4: Simplify right side
    259,163.58x = 38,537,896,734.06
  5. Step 5: Solve for x
    x = 38,537,896,734.06/259,163.58
  6. Step 6: Final answer
    x = 148,701.05

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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.