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Finding the Fourth Proportional to 102,965.40, 154,188.90 and 67,714.20

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Solution

The fourth proportional to 102,965.40, 154,188.90 and 67,714.20 is: 101,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,965.40 : 154,188.90 = 67,714.20 : x
  2. Step 2: Convert to fraction form
    102,965.40/154,188.90 = 67,714.20/x
  3. Step 3: Cross multiply
    102,965.40x = 154,188.90 × 67,714.20
  4. Step 4: Simplify right side
    102,965.40x = 10,440,778,012.38
  5. Step 5: Solve for x
    x = 10,440,778,012.38/102,965.40
  6. Step 6: Final answer
    x = 101,400.84

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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.