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Finding the Fourth Proportional to 218,971.62, 328,311.56 and 78,712.02

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Solution

The fourth proportional to 218,971.62, 328,311.56 and 78,712.02 is: 118,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,971.62 : 328,311.56 = 78,712.02 : x
  2. Step 2: Convert to fraction form
    218,971.62/328,311.56 = 78,712.02/x
  3. Step 3: Cross multiply
    218,971.62x = 328,311.56 × 78,712.02
  4. Step 4: Simplify right side
    218,971.62x = 25,842,066,076.95
  5. Step 5: Solve for x
    x = 25,842,066,076.95/218,971.62
  6. Step 6: Final answer
    x = 118,015.60

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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.