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Finding the Fourth Proportional to 205,590.96, 308,392.92 and 55,830.87

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Solution

The fourth proportional to 205,590.96, 308,392.92 and 55,830.87 is: 83,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,590.96 : 308,392.92 = 55,830.87 : x
  2. Step 2: Convert to fraction form
    205,590.96/308,392.92 = 55,830.87/x
  3. Step 3: Cross multiply
    205,590.96x = 308,392.92 × 55,830.87
  4. Step 4: Simplify right side
    205,590.96x = 17,217,845,025.44
  5. Step 5: Solve for x
    x = 17,217,845,025.44/205,590.96
  6. Step 6: Final answer
    x = 83,748.06

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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.