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Finding the Fourth Proportional to 137,443.28, 189,590.28 and 87,054.80

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Solution

The fourth proportional to 137,443.28, 189,590.28 and 87,054.80 is: 120,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,443.28 : 189,590.28 = 87,054.80 : x
  2. Step 2: Convert to fraction form
    137,443.28/189,590.28 = 87,054.80/x
  3. Step 3: Cross multiply
    137,443.28x = 189,590.28 × 87,054.80
  4. Step 4: Simplify right side
    137,443.28x = 16,504,743,907.34
  5. Step 5: Solve for x
    x = 16,504,743,907.34/137,443.28
  6. Step 6: Final answer
    x = 120,084.04

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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.