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Finding the Fourth Proportional to 30,160.64, 45,264 and 14,597.12

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Solution

The fourth proportional to 30,160.64, 45,264 and 14,597.12 is: 21,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,160.64 : 45,264 = 14,597.12 : x
  2. Step 2: Convert to fraction form
    30,160.64/45,264 = 14,597.12/x
  3. Step 3: Cross multiply
    30,160.64x = 45,264 × 14,597.12
  4. Step 4: Simplify right side
    30,160.64x = 660,724,039.68
  5. Step 5: Solve for x
    x = 660,724,039.68/30,160.64
  6. Step 6: Final answer
    x = 21,906.83

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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.