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Finding the Fourth Proportional to 205,495.40, 308,048.70 and 121,320.20

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Solution

The fourth proportional to 205,495.40, 308,048.70 and 121,320.20 is: 181,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,495.40 : 308,048.70 = 121,320.20 : x
  2. Step 2: Convert to fraction form
    205,495.40/308,048.70 = 121,320.20/x
  3. Step 3: Cross multiply
    205,495.40x = 308,048.70 × 121,320.20
  4. Step 4: Simplify right side
    205,495.40x = 37,372,529,893.74
  5. Step 5: Solve for x
    x = 37,372,529,893.74/205,495.40
  6. Step 6: Final answer
    x = 181,865.53

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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.