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Finding the Fourth Proportional to 120,784.80, 181,205.82 and 118,776.54

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Solution

The fourth proportional to 120,784.80, 181,205.82 and 118,776.54 is: 178,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,784.80 : 181,205.82 = 118,776.54 : x
  2. Step 2: Convert to fraction form
    120,784.80/181,205.82 = 118,776.54/x
  3. Step 3: Cross multiply
    120,784.80x = 181,205.82 × 118,776.54
  4. Step 4: Simplify right side
    120,784.80x = 21,523,000,327.46
  5. Step 5: Solve for x
    x = 21,523,000,327.46/120,784.80
  6. Step 6: Final answer
    x = 178,192.95

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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.