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Finding the Fourth Proportional to 218,738.83, 328,058.96 and 78,497.45

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Solution

The fourth proportional to 218,738.83, 328,058.96 and 78,497.45 is: 117,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,738.83 : 328,058.96 = 78,497.45 : x
  2. Step 2: Convert to fraction form
    218,738.83/328,058.96 = 78,497.45/x
  3. Step 3: Cross multiply
    218,738.83x = 328,058.96 × 78,497.45
  4. Step 4: Simplify right side
    218,738.83x = 25,751,793,293.97
  5. Step 5: Solve for x
    x = 25,751,793,293.97/218,738.83
  6. Step 6: Final answer
    x = 117,728.50

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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.