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Finding the Fourth Proportional to 149,030, 205,557.24 and 98,026.64

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Solution

The fourth proportional to 149,030, 205,557.24 and 98,026.64 is: 135,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,030 : 205,557.24 = 98,026.64 : x
  2. Step 2: Convert to fraction form
    149,030/205,557.24 = 98,026.64/x
  3. Step 3: Cross multiply
    149,030x = 205,557.24 × 98,026.64
  4. Step 4: Simplify right side
    149,030x = 20,150,085,564.87
  5. Step 5: Solve for x
    x = 20,150,085,564.87/149,030
  6. Step 6: Final answer
    x = 135,208.25

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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.