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Finding the Fourth Proportional to 199,820.40, 299,584.80 and 81,430.80

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Solution

The fourth proportional to 199,820.40, 299,584.80 and 81,430.80 is: 122,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820.40 : 299,584.80 = 81,430.80 : x
  2. Step 2: Convert to fraction form
    199,820.40/299,584.80 = 81,430.80/x
  3. Step 3: Cross multiply
    199,820.40x = 299,584.80 × 81,430.80
  4. Step 4: Simplify right side
    199,820.40x = 24,395,429,931.84
  5. Step 5: Solve for x
    x = 24,395,429,931.84/199,820.40
  6. Step 6: Final answer
    x = 122,086.78

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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.