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Finding the Fourth Proportional to 148,624.94, 205,102.12 and 80,641.88

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Solution

The fourth proportional to 148,624.94, 205,102.12 and 80,641.88 is: 111,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,624.94 : 205,102.12 = 80,641.88 : x
  2. Step 2: Convert to fraction form
    148,624.94/205,102.12 = 80,641.88/x
  3. Step 3: Cross multiply
    148,624.94x = 205,102.12 × 80,641.88
  4. Step 4: Simplify right side
    148,624.94x = 16,539,820,548.79
  5. Step 5: Solve for x
    x = 16,539,820,548.79/148,624.94
  6. Step 6: Final answer
    x = 111,285.63

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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.