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Finding the Fourth Proportional to 199,615.80, 299,423.70 and 104,809.35

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Solution

The fourth proportional to 199,615.80, 299,423.70 and 104,809.35 is: 157,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.80 : 299,423.70 = 104,809.35 : x
  2. Step 2: Convert to fraction form
    199,615.80/299,423.70 = 104,809.35/x
  3. Step 3: Cross multiply
    199,615.80x = 299,423.70 × 104,809.35
  4. Step 4: Simplify right side
    199,615.80x = 31,382,403,371.60
  5. Step 5: Solve for x
    x = 31,382,403,371.60/199,615.80
  6. Step 6: Final answer
    x = 157,214.03

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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.