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Finding the Fourth Proportional to 205,840, 284,059.20 and 111,632

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Solution

The fourth proportional to 205,840, 284,059.20 and 111,632 is: 154,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,840 : 284,059.20 = 111,632 : x
  2. Step 2: Convert to fraction form
    205,840/284,059.20 = 111,632/x
  3. Step 3: Cross multiply
    205,840x = 284,059.20 × 111,632
  4. Step 4: Simplify right side
    205,840x = 31,710,096,614.40
  5. Step 5: Solve for x
    x = 31,710,096,614.40/205,840
  6. Step 6: Final answer
    x = 154,052.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.