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Finding the Fourth Proportional to 214,387.56, 295,988.58 and 138,039.39

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Solution

The fourth proportional to 214,387.56, 295,988.58 and 138,039.39 is: 190,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,387.56 : 295,988.58 = 138,039.39 : x
  2. Step 2: Convert to fraction form
    214,387.56/295,988.58 = 138,039.39/x
  3. Step 3: Cross multiply
    214,387.56x = 295,988.58 × 138,039.39
  4. Step 4: Simplify right side
    214,387.56x = 40,858,083,030.17
  5. Step 5: Solve for x
    x = 40,858,083,030.17/214,387.56
  6. Step 6: Final answer
    x = 190,580.48

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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.