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Finding the Fourth Proportional to 259,442.37, 388,995.84 and 101,686.77

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Solution

The fourth proportional to 259,442.37, 388,995.84 and 101,686.77 is: 152,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,442.37 : 388,995.84 = 101,686.77 : x
  2. Step 2: Convert to fraction form
    259,442.37/388,995.84 = 101,686.77/x
  3. Step 3: Cross multiply
    259,442.37x = 388,995.84 × 101,686.77
  4. Step 4: Simplify right side
    259,442.37x = 39,555,730,513.04
  5. Step 5: Solve for x
    x = 39,555,730,513.04/259,442.37
  6. Step 6: Final answer
    x = 152,464.42

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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.