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Finding the Fourth Proportional to 258,858.69, 357,125.73 and 160,695.89

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Solution

The fourth proportional to 258,858.69, 357,125.73 and 160,695.89 is: 221,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,858.69 : 357,125.73 = 160,695.89 : x
  2. Step 2: Convert to fraction form
    258,858.69/357,125.73 = 160,695.89/x
  3. Step 3: Cross multiply
    258,858.69x = 357,125.73 × 160,695.89
  4. Step 4: Simplify right side
    258,858.69x = 57,388,635,238.62
  5. Step 5: Solve for x
    x = 57,388,635,238.62/258,858.69
  6. Step 6: Final answer
    x = 221,698.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.