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Finding the Fourth Proportional to 149,028, 205,554.48 and 98,024.64

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Solution

The fourth proportional to 149,028, 205,554.48 and 98,024.64 is: 135,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,028 : 205,554.48 = 98,024.64 : x
  2. Step 2: Convert to fraction form
    149,028/205,554.48 = 98,024.64/x
  3. Step 3: Cross multiply
    149,028x = 205,554.48 × 98,024.64
  4. Step 4: Simplify right side
    149,028x = 20,149,403,902.39
  5. Step 5: Solve for x
    x = 20,149,403,902.39/149,028
  6. Step 6: Final answer
    x = 135,205.49

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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.