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Finding the Fourth Proportional to 120,630.84, 180,946.26 and 82,642.65

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Solution

The fourth proportional to 120,630.84, 180,946.26 and 82,642.65 is: 123,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,630.84 : 180,946.26 = 82,642.65 : x
  2. Step 2: Convert to fraction form
    120,630.84/180,946.26 = 82,642.65/x
  3. Step 3: Cross multiply
    120,630.84x = 180,946.26 × 82,642.65
  4. Step 4: Simplify right side
    120,630.84x = 14,953,878,433.99
  5. Step 5: Solve for x
    x = 14,953,878,433.99/120,630.84
  6. Step 6: Final answer
    x = 123,963.98

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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.