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Finding the Fourth Proportional to 159,742.28, 239,409.90 and 84,898.28

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Solution

The fourth proportional to 159,742.28, 239,409.90 and 84,898.28 is: 127,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,742.28 : 239,409.90 = 84,898.28 : x
  2. Step 2: Convert to fraction form
    159,742.28/239,409.90 = 84,898.28/x
  3. Step 3: Cross multiply
    159,742.28x = 239,409.90 × 84,898.28
  4. Step 4: Simplify right side
    159,742.28x = 20,325,487,527.92
  5. Step 5: Solve for x
    x = 20,325,487,527.92/159,742.28
  6. Step 6: Final answer
    x = 127,239.25

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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.