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Finding the Fourth Proportional to 210,168, 289,992.16 and 125,292.96

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Solution

The fourth proportional to 210,168, 289,992.16 and 125,292.96 is: 172,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,168 : 289,992.16 = 125,292.96 : x
  2. Step 2: Convert to fraction form
    210,168/289,992.16 = 125,292.96/x
  3. Step 3: Cross multiply
    210,168x = 289,992.16 × 125,292.96
  4. Step 4: Simplify right side
    210,168x = 36,333,976,103.19
  5. Step 5: Solve for x
    x = 36,333,976,103.19/210,168
  6. Step 6: Final answer
    x = 172,880.63

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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.