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Finding the Fourth Proportional to 211,818.96, 317,774.16 and 71,574.48

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Solution

The fourth proportional to 211,818.96, 317,774.16 and 71,574.48 is: 107,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,818.96 : 317,774.16 = 71,574.48 : x
  2. Step 2: Convert to fraction form
    211,818.96/317,774.16 = 71,574.48/x
  3. Step 3: Cross multiply
    211,818.96x = 317,774.16 × 71,574.48
  4. Step 4: Simplify right side
    211,818.96x = 22,744,520,259.44
  5. Step 5: Solve for x
    x = 22,744,520,259.44/211,818.96
  6. Step 6: Final answer
    x = 107,377.17

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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.