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Finding the Fourth Proportional to 199,723.80, 299,715.30 and 115,483.80

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Solution

The fourth proportional to 199,723.80, 299,715.30 and 115,483.80 is: 173,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,723.80 : 299,715.30 = 115,483.80 : x
  2. Step 2: Convert to fraction form
    199,723.80/299,715.30 = 115,483.80/x
  3. Step 3: Cross multiply
    199,723.80x = 299,715.30 × 115,483.80
  4. Step 4: Simplify right side
    199,723.80x = 34,612,261,762.14
  5. Step 5: Solve for x
    x = 34,612,261,762.14/199,723.80
  6. Step 6: Final answer
    x = 173,300.64

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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.