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Finding the Fourth Proportional to 178,898.84, 247,096.92 and 130,424

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Solution

The fourth proportional to 178,898.84, 247,096.92 and 130,424 is: 180,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,898.84 : 247,096.92 = 130,424 : x
  2. Step 2: Convert to fraction form
    178,898.84/247,096.92 = 130,424/x
  3. Step 3: Cross multiply
    178,898.84x = 247,096.92 × 130,424
  4. Step 4: Simplify right side
    178,898.84x = 32,227,368,694.08
  5. Step 5: Solve for x
    x = 32,227,368,694.08/178,898.84
  6. Step 6: Final answer
    x = 180,142.97

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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.