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Finding the Fourth Proportional to 205,732.51, 308,596.53 and 156,117.31

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Solution

The fourth proportional to 205,732.51, 308,596.53 and 156,117.31 is: 234,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,732.51 : 308,596.53 = 156,117.31 : x
  2. Step 2: Convert to fraction form
    205,732.51/308,596.53 = 156,117.31/x
  3. Step 3: Cross multiply
    205,732.51x = 308,596.53 × 156,117.31
  4. Step 4: Simplify right side
    205,732.51x = 48,177,260,138.93
  5. Step 5: Solve for x
    x = 48,177,260,138.93/205,732.51
  6. Step 6: Final answer
    x = 234,174.27

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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.