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Finding the Fourth Proportional to 30,627.75, 42,266.14 and 17,200.18

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Solution

The fourth proportional to 30,627.75, 42,266.14 and 17,200.18 is: 23,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627.75 : 42,266.14 = 17,200.18 : x
  2. Step 2: Convert to fraction form
    30,627.75/42,266.14 = 17,200.18/x
  3. Step 3: Cross multiply
    30,627.75x = 42,266.14 × 17,200.18
  4. Step 4: Simplify right side
    30,627.75x = 726,985,225.74
  5. Step 5: Solve for x
    x = 726,985,225.74/30,627.75
  6. Step 6: Final answer
    x = 23,736.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.