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Finding the Fourth Proportional to 199,028.80, 298,543.20 and 65,913.40

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Solution

The fourth proportional to 199,028.80, 298,543.20 and 65,913.40 is: 98,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,028.80 : 298,543.20 = 65,913.40 : x
  2. Step 2: Convert to fraction form
    199,028.80/298,543.20 = 65,913.40/x
  3. Step 3: Cross multiply
    199,028.80x = 298,543.20 × 65,913.40
  4. Step 4: Simplify right side
    199,028.80x = 19,677,997,358.88
  5. Step 5: Solve for x
    x = 19,677,997,358.88/199,028.80
  6. Step 6: Final answer
    x = 98,870.10

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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.