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Finding the Fourth Proportional to 205,752.48, 308,628.86 and 87,340.84

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Solution

The fourth proportional to 205,752.48, 308,628.86 and 87,340.84 is: 131,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,752.48 : 308,628.86 = 87,340.84 : x
  2. Step 2: Convert to fraction form
    205,752.48/308,628.86 = 87,340.84/x
  3. Step 3: Cross multiply
    205,752.48x = 308,628.86 × 87,340.84
  4. Step 4: Simplify right side
    205,752.48x = 26,955,903,880.64
  5. Step 5: Solve for x
    x = 26,955,903,880.64/205,752.48
  6. Step 6: Final answer
    x = 131,011.32

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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.