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Finding the Fourth Proportional to 199,570.98, 299,197.50 and 115,235.40

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Solution

The fourth proportional to 199,570.98, 299,197.50 and 115,235.40 is: 172,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,570.98 : 299,197.50 = 115,235.40 : x
  2. Step 2: Convert to fraction form
    199,570.98/299,197.50 = 115,235.40/x
  3. Step 3: Cross multiply
    199,570.98x = 299,197.50 × 115,235.40
  4. Step 4: Simplify right side
    199,570.98x = 34,478,143,591.50
  5. Step 5: Solve for x
    x = 34,478,143,591.50/199,570.98
  6. Step 6: Final answer
    x = 172,761.31

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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.