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Finding the Fourth Proportional to 102,738.55, 154,101.68 and 42,751.88

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Solution

The fourth proportional to 102,738.55, 154,101.68 and 42,751.88 is: 64,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,738.55 : 154,101.68 = 42,751.88 : x
  2. Step 2: Convert to fraction form
    102,738.55/154,101.68 = 42,751.88/x
  3. Step 3: Cross multiply
    102,738.55x = 154,101.68 × 42,751.88
  4. Step 4: Simplify right side
    102,738.55x = 6,588,135,546.89
  5. Step 5: Solve for x
    x = 6,588,135,546.89/102,738.55
  6. Step 6: Final answer
    x = 64,125.25

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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.