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Finding the Fourth Proportional to 211,763.68, 317,769.44 and 78,735.76

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Solution

The fourth proportional to 211,763.68, 317,769.44 and 78,735.76 is: 118,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,763.68 : 317,769.44 = 78,735.76 : x
  2. Step 2: Convert to fraction form
    211,763.68/317,769.44 = 78,735.76/x
  3. Step 3: Cross multiply
    211,763.68x = 317,769.44 × 78,735.76
  4. Step 4: Simplify right side
    211,763.68x = 25,019,818,363.17
  5. Step 5: Solve for x
    x = 25,019,818,363.17/211,763.68
  6. Step 6: Final answer
    x = 118,149.71

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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.