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Finding the Fourth Proportional to 211,856, 317,784 and 78,769.76

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Solution

The fourth proportional to 211,856, 317,784 and 78,769.76 is: 118,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,856 : 317,784 = 78,769.76 : x
  2. Step 2: Convert to fraction form
    211,856/317,784 = 78,769.76/x
  3. Step 3: Cross multiply
    211,856x = 317,784 × 78,769.76
  4. Step 4: Simplify right side
    211,856x = 25,031,769,411.84
  5. Step 5: Solve for x
    x = 25,031,769,411.84/211,856
  6. Step 6: Final answer
    x = 118,154.64

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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.