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Finding the Fourth Proportional to 159,518.16, 239,203.80 and 54,308.88

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Solution

The fourth proportional to 159,518.16, 239,203.80 and 54,308.88 is: 81,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,518.16 : 239,203.80 = 54,308.88 : x
  2. Step 2: Convert to fraction form
    159,518.16/239,203.80 = 54,308.88/x
  3. Step 3: Cross multiply
    159,518.16x = 239,203.80 × 54,308.88
  4. Step 4: Simplify right side
    159,518.16x = 12,990,890,469.74
  5. Step 5: Solve for x
    x = 12,990,890,469.74/159,518.16
  6. Step 6: Final answer
    x = 81,438.32

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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.