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Finding the Fourth Proportional to 102,651.40, 153,977.10 and 96,819.40

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Solution

The fourth proportional to 102,651.40, 153,977.10 and 96,819.40 is: 145,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,651.40 : 153,977.10 = 96,819.40 : x
  2. Step 2: Convert to fraction form
    102,651.40/153,977.10 = 96,819.40/x
  3. Step 3: Cross multiply
    102,651.40x = 153,977.10 × 96,819.40
  4. Step 4: Simplify right side
    102,651.40x = 14,907,970,435.74
  5. Step 5: Solve for x
    x = 14,907,970,435.74/102,651.40
  6. Step 6: Final answer
    x = 145,229.10

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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.