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Finding the Fourth Proportional to 30,202.60, 45,287.70 and 12,652.60

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Solution

The fourth proportional to 30,202.60, 45,287.70 and 12,652.60 is: 18,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.60 : 45,287.70 = 12,652.60 : x
  2. Step 2: Convert to fraction form
    30,202.60/45,287.70 = 12,652.60/x
  3. Step 3: Cross multiply
    30,202.60x = 45,287.70 × 12,652.60
  4. Step 4: Simplify right side
    30,202.60x = 573,007,153.02
  5. Step 5: Solve for x
    x = 573,007,153.02/30,202.60
  6. Step 6: Final answer
    x = 18,972.11

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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.