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Finding the Fourth Proportional to 193,988.48, 290,736 and 87,258.33

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Solution

The fourth proportional to 193,988.48, 290,736 and 87,258.33 is: 130,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,988.48 : 290,736 = 87,258.33 : x
  2. Step 2: Convert to fraction form
    193,988.48/290,736 = 87,258.33/x
  3. Step 3: Cross multiply
    193,988.48x = 290,736 × 87,258.33
  4. Step 4: Simplify right side
    193,988.48x = 25,369,137,830.88
  5. Step 5: Solve for x
    x = 25,369,137,830.88/193,988.48
  6. Step 6: Final answer
    x = 130,776.52

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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.