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Finding the Fourth Proportional to 102,946.34, 154,358.46 and 31,847.92

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Solution

The fourth proportional to 102,946.34, 154,358.46 and 31,847.92 is: 47,752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,946.34 : 154,358.46 = 31,847.92 : x
  2. Step 2: Convert to fraction form
    102,946.34/154,358.46 = 31,847.92/x
  3. Step 3: Cross multiply
    102,946.34x = 154,358.46 × 31,847.92
  4. Step 4: Simplify right side
    102,946.34x = 4,915,995,499.51
  5. Step 5: Solve for x
    x = 4,915,995,499.51/102,946.34
  6. Step 6: Final answer
    x = 47,752.99

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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.