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Finding the Fourth Proportional to 211,854.39, 317,782.09 and 51,931.04

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Solution

The fourth proportional to 211,854.39, 317,782.09 and 51,931.04 is: 77,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,854.39 : 317,782.09 = 51,931.04 : x
  2. Step 2: Convert to fraction form
    211,854.39/317,782.09 = 51,931.04/x
  3. Step 3: Cross multiply
    211,854.39x = 317,782.09 × 51,931.04
  4. Step 4: Simplify right side
    211,854.39x = 16,502,753,386.47
  5. Step 5: Solve for x
    x = 16,502,753,386.47/211,854.39
  6. Step 6: Final answer
    x = 77,896.68

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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.