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Finding the Fourth Proportional to 205,716, 308,136.48 and 121,385.28

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Solution

The fourth proportional to 205,716, 308,136.48 and 121,385.28 is: 181,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,716 : 308,136.48 = 121,385.28 : x
  2. Step 2: Convert to fraction form
    205,716/308,136.48 = 121,385.28/x
  3. Step 3: Cross multiply
    205,716x = 308,136.48 × 121,385.28
  4. Step 4: Simplify right side
    205,716x = 37,403,232,903.01
  5. Step 5: Solve for x
    x = 37,403,232,903.01/205,716
  6. Step 6: Final answer
    x = 181,819.76

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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.