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Finding the Fourth Proportional to 30,168, 45,222 and 14,345.04

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Solution

The fourth proportional to 30,168, 45,222 and 14,345.04 is: 21,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168 : 45,222 = 14,345.04 : x
  2. Step 2: Convert to fraction form
    30,168/45,222 = 14,345.04/x
  3. Step 3: Cross multiply
    30,168x = 45,222 × 14,345.04
  4. Step 4: Simplify right side
    30,168x = 648,711,398.88
  5. Step 5: Solve for x
    x = 648,711,398.88/30,168
  6. Step 6: Final answer
    x = 21,503.29

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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.