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Finding the Fourth Proportional to 208,763.81, 312,903.66 and 96,207.57

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Solution

The fourth proportional to 208,763.81, 312,903.66 and 96,207.57 is: 144,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,763.81 : 312,903.66 = 96,207.57 : x
  2. Step 2: Convert to fraction form
    208,763.81/312,903.66 = 96,207.57/x
  3. Step 3: Cross multiply
    208,763.81x = 312,903.66 × 96,207.57
  4. Step 4: Simplify right side
    208,763.81x = 30,103,701,472.36
  5. Step 5: Solve for x
    x = 30,103,701,472.36/208,763.81
  6. Step 6: Final answer
    x = 144,199.81

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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.