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Finding the Fourth Proportional to 205,752.48, 308,382.12 and 105,959.76

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Solution

The fourth proportional to 205,752.48, 308,382.12 and 105,959.76 is: 158,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,752.48 : 308,382.12 = 105,959.76 : x
  2. Step 2: Convert to fraction form
    205,752.48/308,382.12 = 105,959.76/x
  3. Step 3: Cross multiply
    205,752.48x = 308,382.12 × 105,959.76
  4. Step 4: Simplify right side
    205,752.48x = 32,676,095,423.49
  5. Step 5: Solve for x
    x = 32,676,095,423.49/205,752.48
  6. Step 6: Final answer
    x = 158,812.64

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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.