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Finding the Fourth Proportional to 211,046.88, 316,574.37 and 77,858.58

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Solution

The fourth proportional to 211,046.88, 316,574.37 and 77,858.58 is: 116,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,046.88 : 316,574.37 = 77,858.58 : x
  2. Step 2: Convert to fraction form
    211,046.88/316,574.37 = 77,858.58/x
  3. Step 3: Cross multiply
    211,046.88x = 316,574.37 × 77,858.58
  4. Step 4: Simplify right side
    211,046.88x = 24,648,030,912.59
  5. Step 5: Solve for x
    x = 24,648,030,912.59/211,046.88
  6. Step 6: Final answer
    x = 116,789.36

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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.