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Finding the Fourth Proportional to 199,659.84, 299,561.04 and 85,759.80

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Solution

The fourth proportional to 199,659.84, 299,561.04 and 85,759.80 is: 128,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,659.84 : 299,561.04 = 85,759.80 : x
  2. Step 2: Convert to fraction form
    199,659.84/299,561.04 = 85,759.80/x
  3. Step 3: Cross multiply
    199,659.84x = 299,561.04 × 85,759.80
  4. Step 4: Simplify right side
    199,659.84x = 25,690,294,878.19
  5. Step 5: Solve for x
    x = 25,690,294,878.19/199,659.84
  6. Step 6: Final answer
    x = 128,670.32

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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.