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Finding the Fourth Proportional to 199,615.16, 275,090.10 and 142,928.12

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Solution

The fourth proportional to 199,615.16, 275,090.10 and 142,928.12 is: 196,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.16 : 275,090.10 = 142,928.12 : x
  2. Step 2: Convert to fraction form
    199,615.16/275,090.10 = 142,928.12/x
  3. Step 3: Cross multiply
    199,615.16x = 275,090.10 × 142,928.12
  4. Step 4: Simplify right side
    199,615.16x = 39,318,110,823.61
  5. Step 5: Solve for x
    x = 39,318,110,823.61/199,615.16
  6. Step 6: Final answer
    x = 196,969.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.