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Finding the Fourth Proportional to 102,213.60, 153,150.30 and 74,098.50

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Solution

The fourth proportional to 102,213.60, 153,150.30 and 74,098.50 is: 111,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,213.60 : 153,150.30 = 74,098.50 : x
  2. Step 2: Convert to fraction form
    102,213.60/153,150.30 = 74,098.50/x
  3. Step 3: Cross multiply
    102,213.60x = 153,150.30 × 74,098.50
  4. Step 4: Simplify right side
    102,213.60x = 11,348,207,504.55
  5. Step 5: Solve for x
    x = 11,348,207,504.55/102,213.60
  6. Step 6: Final answer
    x = 111,024.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.