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Finding the Fourth Proportional to 159,142, 219,621.48 and 87,527.44

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Solution

The fourth proportional to 159,142, 219,621.48 and 87,527.44 is: 120,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,142 : 219,621.48 = 87,527.44 : x
  2. Step 2: Convert to fraction form
    159,142/219,621.48 = 87,527.44/x
  3. Step 3: Cross multiply
    159,142x = 219,621.48 × 87,527.44
  4. Step 4: Simplify right side
    159,142x = 19,222,905,913.41
  5. Step 5: Solve for x
    x = 19,222,905,913.41/159,142
  6. Step 6: Final answer
    x = 120,790.90

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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.