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Finding the Fourth Proportional to 218,058.92, 300,929.84 and 122,565.32

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Solution

The fourth proportional to 218,058.92, 300,929.84 and 122,565.32 is: 169,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,058.92 : 300,929.84 = 122,565.32 : x
  2. Step 2: Convert to fraction form
    218,058.92/300,929.84 = 122,565.32/x
  3. Step 3: Cross multiply
    218,058.92x = 300,929.84 × 122,565.32
  4. Step 4: Simplify right side
    218,058.92x = 36,883,562,137.15
  5. Step 5: Solve for x
    x = 36,883,562,137.15/218,058.92
  6. Step 6: Final answer
    x = 169,144.94

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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.