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Finding the Fourth Proportional to 211,530.70, 317,814.45 and 159,042.70

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Solution

The fourth proportional to 211,530.70, 317,814.45 and 159,042.70 is: 238,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,530.70 : 317,814.45 = 159,042.70 : x
  2. Step 2: Convert to fraction form
    211,530.70/317,814.45 = 159,042.70/x
  3. Step 3: Cross multiply
    211,530.70x = 317,814.45 × 159,042.70
  4. Step 4: Simplify right side
    211,530.70x = 50,546,068,227.02
  5. Step 5: Solve for x
    x = 50,546,068,227.02/211,530.70
  6. Step 6: Final answer
    x = 238,953.82

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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.