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Finding the Fourth Proportional to 211,295.92, 291,590.94 and 115,800.58

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Solution

The fourth proportional to 211,295.92, 291,590.94 and 115,800.58 is: 159,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,295.92 : 291,590.94 = 115,800.58 : x
  2. Step 2: Convert to fraction form
    211,295.92/291,590.94 = 115,800.58/x
  3. Step 3: Cross multiply
    211,295.92x = 291,590.94 × 115,800.58
  4. Step 4: Simplify right side
    211,295.92x = 33,766,399,974.75
  5. Step 5: Solve for x
    x = 33,766,399,974.75/211,295.92
  6. Step 6: Final answer
    x = 159,806.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.