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Finding the Fourth Proportional to 211,807.29, 317,772.44 and 85,382.30

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Solution

The fourth proportional to 211,807.29, 317,772.44 and 85,382.30 is: 128,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,807.29 : 317,772.44 = 85,382.30 : x
  2. Step 2: Convert to fraction form
    211,807.29/317,772.44 = 85,382.30/x
  3. Step 3: Cross multiply
    211,807.29x = 317,772.44 × 85,382.30
  4. Step 4: Simplify right side
    211,807.29x = 27,132,139,788.04
  5. Step 5: Solve for x
    x = 27,132,139,788.04/211,807.29
  6. Step 6: Final answer
    x = 128,098.23

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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.