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Finding the Fourth Proportional to 137,258.40, 205,887.60 and 132,009.60

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Solution

The fourth proportional to 137,258.40, 205,887.60 and 132,009.60 is: 198,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,258.40 : 205,887.60 = 132,009.60 : x
  2. Step 2: Convert to fraction form
    137,258.40/205,887.60 = 132,009.60/x
  3. Step 3: Cross multiply
    137,258.40x = 205,887.60 × 132,009.60
  4. Step 4: Simplify right side
    137,258.40x = 27,179,139,720.96
  5. Step 5: Solve for x
    x = 27,179,139,720.96/137,258.40
  6. Step 6: Final answer
    x = 198,014.40

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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.