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Finding the Fourth Proportional to 199,532.40, 299,383.65 and 104,835.30

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Solution

The fourth proportional to 199,532.40, 299,383.65 and 104,835.30 is: 157,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,532.40 : 299,383.65 = 104,835.30 : x
  2. Step 2: Convert to fraction form
    199,532.40/299,383.65 = 104,835.30/x
  3. Step 3: Cross multiply
    199,532.40x = 299,383.65 × 104,835.30
  4. Step 4: Simplify right side
    199,532.40x = 31,385,974,762.85
  5. Step 5: Solve for x
    x = 31,385,974,762.85/199,532.40
  6. Step 6: Final answer
    x = 157,297.64

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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.