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Finding the Fourth Proportional to 211,866.64, 317,800.52 and 51,943.30

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Solution

The fourth proportional to 211,866.64, 317,800.52 and 51,943.30 is: 77,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,866.64 : 317,800.52 = 51,943.30 : x
  2. Step 2: Convert to fraction form
    211,866.64/317,800.52 = 51,943.30/x
  3. Step 3: Cross multiply
    211,866.64x = 317,800.52 × 51,943.30
  4. Step 4: Simplify right side
    211,866.64x = 16,507,607,750.52
  5. Step 5: Solve for x
    x = 16,507,607,750.52/211,866.64
  6. Step 6: Final answer
    x = 77,915.09

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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.