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Finding the Fourth Proportional to 149,496.64, 206,296.32 and 85,828.48

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Solution

The fourth proportional to 149,496.64, 206,296.32 and 85,828.48 is: 118,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,496.64 : 206,296.32 = 85,828.48 : x
  2. Step 2: Convert to fraction form
    149,496.64/206,296.32 = 85,828.48/x
  3. Step 3: Cross multiply
    149,496.64x = 206,296.32 × 85,828.48
  4. Step 4: Simplify right side
    149,496.64x = 17,706,099,575.19
  5. Step 5: Solve for x
    x = 17,706,099,575.19/149,496.64
  6. Step 6: Final answer
    x = 118,438.11

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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.