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Finding the Fourth Proportional to 259,162.58, 388,477.53 and 99,201

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Solution

The fourth proportional to 259,162.58, 388,477.53 and 99,201 is: 148,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,162.58 : 388,477.53 = 99,201 : x
  2. Step 2: Convert to fraction form
    259,162.58/388,477.53 = 99,201/x
  3. Step 3: Cross multiply
    259,162.58x = 388,477.53 × 99,201
  4. Step 4: Simplify right side
    259,162.58x = 38,537,359,453.53
  5. Step 5: Solve for x
    x = 38,537,359,453.53/259,162.58
  6. Step 6: Final answer
    x = 148,699.55

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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.