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Finding the Fourth Proportional to 205,582.84, 308,490.90 and 81,011.32

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Solution

The fourth proportional to 205,582.84, 308,490.90 and 81,011.32 is: 121,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,582.84 : 308,490.90 = 81,011.32 : x
  2. Step 2: Convert to fraction form
    205,582.84/308,490.90 = 81,011.32/x
  3. Step 3: Cross multiply
    205,582.84x = 308,490.90 × 81,011.32
  4. Step 4: Simplify right side
    205,582.84x = 24,991,255,016.99
  5. Step 5: Solve for x
    x = 24,991,255,016.99/205,582.84
  6. Step 6: Final answer
    x = 121,562.94

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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.