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Finding the Fourth Proportional to 211,278.23, 317,041.90 and 78,251.90

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Solution

The fourth proportional to 211,278.23, 317,041.90 and 78,251.90 is: 117,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,278.23 : 317,041.90 = 78,251.90 : x
  2. Step 2: Convert to fraction form
    211,278.23/317,041.90 = 78,251.90/x
  3. Step 3: Cross multiply
    211,278.23x = 317,041.90 × 78,251.90
  4. Step 4: Simplify right side
    211,278.23x = 24,809,131,057.13
  5. Step 5: Solve for x
    x = 24,809,131,057.13/211,278.23
  6. Step 6: Final answer
    x = 117,423.98

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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.