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Finding the Fourth Proportional to 211,047.88, 316,575.87 and 77,859.58

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Solution

The fourth proportional to 211,047.88, 316,575.87 and 77,859.58 is: 116,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,047.88 : 316,575.87 = 77,859.58 : x
  2. Step 2: Convert to fraction form
    211,047.88/316,575.87 = 77,859.58/x
  3. Step 3: Cross multiply
    211,047.88x = 316,575.87 × 77,859.58
  4. Step 4: Simplify right side
    211,047.88x = 24,648,464,276.33
  5. Step 5: Solve for x
    x = 24,648,464,276.33/211,047.88
  6. Step 6: Final answer
    x = 116,790.86

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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.