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Finding the Fourth Proportional to 211,780.88, 317,578.04 and 99,493.01

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Solution

The fourth proportional to 211,780.88, 317,578.04 and 99,493.01 is: 149,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,780.88 : 317,578.04 = 99,493.01 : x
  2. Step 2: Convert to fraction form
    211,780.88/317,578.04 = 99,493.01/x
  3. Step 3: Cross multiply
    211,780.88x = 317,578.04 × 99,493.01
  4. Step 4: Simplify right side
    211,780.88x = 31,596,795,109.50
  5. Step 5: Solve for x
    x = 31,596,795,109.50/211,780.88
  6. Step 6: Final answer
    x = 149,195.69

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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.