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Finding the Fourth Proportional to 138,170.64, 190,675.47 and 78,554.64

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Solution

The fourth proportional to 138,170.64, 190,675.47 and 78,554.64 is: 108,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,170.64 : 190,675.47 = 78,554.64 : x
  2. Step 2: Convert to fraction form
    138,170.64/190,675.47 = 78,554.64/x
  3. Step 3: Cross multiply
    138,170.64x = 190,675.47 × 78,554.64
  4. Step 4: Simplify right side
    138,170.64x = 14,978,442,902.68
  5. Step 5: Solve for x
    x = 14,978,442,902.68/138,170.64
  6. Step 6: Final answer
    x = 108,405.40

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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.