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Finding the Fourth Proportional to 30,266.60, 45,368.70 and 13,634.60

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Solution

The fourth proportional to 30,266.60, 45,368.70 and 13,634.60 is: 20,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.60 : 45,368.70 = 13,634.60 : x
  2. Step 2: Convert to fraction form
    30,266.60/45,368.70 = 13,634.60/x
  3. Step 3: Cross multiply
    30,266.60x = 45,368.70 × 13,634.60
  4. Step 4: Simplify right side
    30,266.60x = 618,584,077.02
  5. Step 5: Solve for x
    x = 618,584,077.02/30,266.60
  6. Step 6: Final answer
    x = 20,437.84

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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.