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Finding the Fourth Proportional to 140,486.40, 193,870.08 and 83,165.04

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Solution

The fourth proportional to 140,486.40, 193,870.08 and 83,165.04 is: 114,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,486.40 : 193,870.08 = 83,165.04 : x
  2. Step 2: Convert to fraction form
    140,486.40/193,870.08 = 83,165.04/x
  3. Step 3: Cross multiply
    140,486.40x = 193,870.08 × 83,165.04
  4. Step 4: Simplify right side
    140,486.40x = 16,123,212,958.00
  5. Step 5: Solve for x
    x = 16,123,212,958.00/140,486.40
  6. Step 6: Final answer
    x = 114,767.07

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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.