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Finding the Fourth Proportional to 102,759, 154,153.18 and 31,687.64

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Solution

The fourth proportional to 102,759, 154,153.18 and 31,687.64 is: 47,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,759 : 154,153.18 = 31,687.64 : x
  2. Step 2: Convert to fraction form
    102,759/154,153.18 = 31,687.64/x
  3. Step 3: Cross multiply
    102,759x = 154,153.18 × 31,687.64
  4. Step 4: Simplify right side
    102,759x = 4,884,750,472.70
  5. Step 5: Solve for x
    x = 4,884,750,472.70/102,759
  6. Step 6: Final answer
    x = 47,535.99

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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.