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Finding the Fourth Proportional to 30,118, 45,178.08 and 9,340.96

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Solution

The fourth proportional to 30,118, 45,178.08 and 9,340.96 is: 14,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,118 : 45,178.08 = 9,340.96 : x
  2. Step 2: Convert to fraction form
    30,118/45,178.08 = 9,340.96/x
  3. Step 3: Cross multiply
    30,118x = 45,178.08 × 9,340.96
  4. Step 4: Simplify right side
    30,118x = 422,006,638.16
  5. Step 5: Solve for x
    x = 422,006,638.16/30,118
  6. Step 6: Final answer
    x = 14,011.77

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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.