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Finding the Fourth Proportional to 208,228.80, 312,343.20 and 95,908.80

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Solution

The fourth proportional to 208,228.80, 312,343.20 and 95,908.80 is: 143,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,228.80 : 312,343.20 = 95,908.80 : x
  2. Step 2: Convert to fraction form
    208,228.80/312,343.20 = 95,908.80/x
  3. Step 3: Cross multiply
    208,228.80x = 312,343.20 × 95,908.80
  4. Step 4: Simplify right side
    208,228.80x = 29,956,461,500.16
  5. Step 5: Solve for x
    x = 29,956,461,500.16/208,228.80
  6. Step 6: Final answer
    x = 143,863.20

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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.