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Finding the Fourth Proportional to 211,161.96, 316,520.46 and 77,956.92

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Solution

The fourth proportional to 211,161.96, 316,520.46 and 77,956.92 is: 116,853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,161.96 : 316,520.46 = 77,956.92 : x
  2. Step 2: Convert to fraction form
    211,161.96/316,520.46 = 77,956.92/x
  3. Step 3: Cross multiply
    211,161.96x = 316,520.46 × 77,956.92
  4. Step 4: Simplify right side
    211,161.96x = 24,674,960,178.58
  5. Step 5: Solve for x
    x = 24,674,960,178.58/211,161.96
  6. Step 6: Final answer
    x = 116,853.24

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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.