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Finding the Fourth Proportional to 311,368.14, 467,052.53 and 86,729.04

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Solution

The fourth proportional to 311,368.14, 467,052.53 and 86,729.04 is: 130,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,368.14 : 467,052.53 = 86,729.04 : x
  2. Step 2: Convert to fraction form
    311,368.14/467,052.53 = 86,729.04/x
  3. Step 3: Cross multiply
    311,368.14x = 467,052.53 × 86,729.04
  4. Step 4: Simplify right side
    311,368.14x = 40,507,017,122.83
  5. Step 5: Solve for x
    x = 40,507,017,122.83/311,368.14
  6. Step 6: Final answer
    x = 130,093.65

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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.