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Finding the Fourth Proportional to 218,056.80, 327,101.40 and 77,797.20

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Solution

The fourth proportional to 218,056.80, 327,101.40 and 77,797.20 is: 116,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,056.80 : 327,101.40 = 77,797.20 : x
  2. Step 2: Convert to fraction form
    218,056.80/327,101.40 = 77,797.20/x
  3. Step 3: Cross multiply
    218,056.80x = 327,101.40 × 77,797.20
  4. Step 4: Simplify right side
    218,056.80x = 25,447,573,036.08
  5. Step 5: Solve for x
    x = 25,447,573,036.08/218,056.80
  6. Step 6: Final answer
    x = 116,701.58

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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.