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Finding the Fourth Proportional to 238,672.64, 329,342.72 and 138,051.84

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Solution

The fourth proportional to 238,672.64, 329,342.72 and 138,051.84 is: 190,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,672.64 : 329,342.72 = 138,051.84 : x
  2. Step 2: Convert to fraction form
    238,672.64/329,342.72 = 138,051.84/x
  3. Step 3: Cross multiply
    238,672.64x = 329,342.72 × 138,051.84
  4. Step 4: Simplify right side
    238,672.64x = 45,466,368,486.60
  5. Step 5: Solve for x
    x = 45,466,368,486.60/238,672.64
  6. Step 6: Final answer
    x = 190,496.78

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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.