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Finding the Fourth Proportional to 211,807.68, 317,618.22 and 99,519.84

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Solution

The fourth proportional to 211,807.68, 317,618.22 and 99,519.84 is: 149,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,807.68 : 317,618.22 = 99,519.84 : x
  2. Step 2: Convert to fraction form
    211,807.68/317,618.22 = 99,519.84/x
  3. Step 3: Cross multiply
    211,807.68x = 317,618.22 × 99,519.84
  4. Step 4: Simplify right side
    211,807.68x = 31,609,314,435.48
  5. Step 5: Solve for x
    x = 31,609,314,435.48/211,807.68
  6. Step 6: Final answer
    x = 149,235.92

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1.5x scale

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.