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Finding the Fourth Proportional to 214,387.88, 295,990.80 and 137,942.52

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Solution

The fourth proportional to 214,387.88, 295,990.80 and 137,942.52 is: 190,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,387.88 : 295,990.80 = 137,942.52 : x
  2. Step 2: Convert to fraction form
    214,387.88/295,990.80 = 137,942.52/x
  3. Step 3: Cross multiply
    214,387.88x = 295,990.80 × 137,942.52
  4. Step 4: Simplify right side
    214,387.88x = 40,829,716,848.82
  5. Step 5: Solve for x
    x = 40,829,716,848.82/214,387.88
  6. Step 6: Final answer
    x = 190,447.88

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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.