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Finding the Fourth Proportional to 199,539.60, 299,309.40 and 187,729.80

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Solution

The fourth proportional to 199,539.60, 299,309.40 and 187,729.80 is: 281,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,539.60 : 299,309.40 = 187,729.80 : x
  2. Step 2: Convert to fraction form
    199,539.60/299,309.40 = 187,729.80/x
  3. Step 3: Cross multiply
    199,539.60x = 299,309.40 × 187,729.80
  4. Step 4: Simplify right side
    199,539.60x = 56,189,293,800.12
  5. Step 5: Solve for x
    x = 56,189,293,800.12/199,539.60
  6. Step 6: Final answer
    x = 281,594.70

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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.