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Finding the Fourth Proportional to 211,900.88, 317,719.19 and 99,532.82

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Solution

The fourth proportional to 211,900.88, 317,719.19 and 99,532.82 is: 149,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,900.88 : 317,719.19 = 99,532.82 : x
  2. Step 2: Convert to fraction form
    211,900.88/317,719.19 = 99,532.82/x
  3. Step 3: Cross multiply
    211,900.88x = 317,719.19 × 99,532.82
  4. Step 4: Simplify right side
    211,900.88x = 31,623,487,991.95
  5. Step 5: Solve for x
    x = 31,623,487,991.95/211,900.88
  6. Step 6: Final answer
    x = 149,237.17

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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.