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Finding the Fourth Proportional to 205,604.60, 308,160.12 and 105,811.88

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Solution

The fourth proportional to 205,604.60, 308,160.12 and 105,811.88 is: 158,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,604.60 : 308,160.12 = 105,811.88 : x
  2. Step 2: Convert to fraction form
    205,604.60/308,160.12 = 105,811.88/x
  3. Step 3: Cross multiply
    205,604.60x = 308,160.12 × 105,811.88
  4. Step 4: Simplify right side
    205,604.60x = 32,607,001,638.23
  5. Step 5: Solve for x
    x = 32,607,001,638.23/205,604.60
  6. Step 6: Final answer
    x = 158,590.82

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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.