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Finding the Fourth Proportional to 134,783.52, 185,990.76 and 78,198.54

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Solution

The fourth proportional to 134,783.52, 185,990.76 and 78,198.54 is: 107,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,783.52 : 185,990.76 = 78,198.54 : x
  2. Step 2: Convert to fraction form
    134,783.52/185,990.76 = 78,198.54/x
  3. Step 3: Cross multiply
    134,783.52x = 185,990.76 × 78,198.54
  4. Step 4: Simplify right side
    134,783.52x = 14,544,205,885.49
  5. Step 5: Solve for x
    x = 14,544,205,885.49/134,783.52
  6. Step 6: Final answer
    x = 107,907.89

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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.