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Finding the Fourth Proportional to 138,691.44, 208,045.80 and 55,574.64

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Solution

The fourth proportional to 138,691.44, 208,045.80 and 55,574.64 is: 83,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,691.44 : 208,045.80 = 55,574.64 : x
  2. Step 2: Convert to fraction form
    138,691.44/208,045.80 = 55,574.64/x
  3. Step 3: Cross multiply
    138,691.44x = 208,045.80 × 55,574.64
  4. Step 4: Simplify right side
    138,691.44x = 11,562,070,438.51
  5. Step 5: Solve for x
    x = 11,562,070,438.51/138,691.44
  6. Step 6: Final answer
    x = 83,365.42

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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.