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Finding the Fourth Proportional to 140,801.63, 194,306.24 and 84,213

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Solution

The fourth proportional to 140,801.63, 194,306.24 and 84,213 is: 116,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,801.63 : 194,306.24 = 84,213 : x
  2. Step 2: Convert to fraction form
    140,801.63/194,306.24 = 84,213/x
  3. Step 3: Cross multiply
    140,801.63x = 194,306.24 × 84,213
  4. Step 4: Simplify right side
    140,801.63x = 16,363,111,599.65
  5. Step 5: Solve for x
    x = 16,363,111,599.65/140,801.63
  6. Step 6: Final answer
    x = 116,213.94

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1.5x scale

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.