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Finding the Fourth Proportional to 137,678.97, 206,577.64 and 74,544.20

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Solution

The fourth proportional to 137,678.97, 206,577.64 and 74,544.20 is: 111,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,678.97 : 206,577.64 = 74,544.20 : x
  2. Step 2: Convert to fraction form
    137,678.97/206,577.64 = 74,544.20/x
  3. Step 3: Cross multiply
    137,678.97x = 206,577.64 × 74,544.20
  4. Step 4: Simplify right side
    137,678.97x = 15,399,164,746.65
  5. Step 5: Solve for x
    x = 15,399,164,746.65/137,678.97
  6. Step 6: Final answer
    x = 111,848.35

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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.