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Finding the Fourth Proportional to 138,955.04, 208,495.44 and 54,692

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Solution

The fourth proportional to 138,955.04, 208,495.44 and 54,692 is: 82,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,955.04 : 208,495.44 = 54,692 : x
  2. Step 2: Convert to fraction form
    138,955.04/208,495.44 = 54,692/x
  3. Step 3: Cross multiply
    138,955.04x = 208,495.44 × 54,692
  4. Step 4: Simplify right side
    138,955.04x = 11,403,032,604.48
  5. Step 5: Solve for x
    x = 11,403,032,604.48/138,955.04
  6. Step 6: Final answer
    x = 82,062.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.