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Finding the Fourth Proportional to 109,048.96, 163,576.68 and 30,169

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Solution

The fourth proportional to 109,048.96, 163,576.68 and 30,169 is: 45,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,048.96 : 163,576.68 = 30,169 : x
  2. Step 2: Convert to fraction form
    109,048.96/163,576.68 = 30,169/x
  3. Step 3: Cross multiply
    109,048.96x = 163,576.68 × 30,169
  4. Step 4: Simplify right side
    109,048.96x = 4,934,944,858.92
  5. Step 5: Solve for x
    x = 4,934,944,858.92/109,048.96
  6. Step 6: Final answer
    x = 45,254.40

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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.