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Finding the Fourth Proportional to 102,764.16, 154,153.80 and 43,593.12

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Solution

The fourth proportional to 102,764.16, 154,153.80 and 43,593.12 is: 65,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,764.16 : 154,153.80 = 43,593.12 : x
  2. Step 2: Convert to fraction form
    102,764.16/154,153.80 = 43,593.12/x
  3. Step 3: Cross multiply
    102,764.16x = 154,153.80 × 43,593.12
  4. Step 4: Simplify right side
    102,764.16x = 6,720,045,101.86
  5. Step 5: Solve for x
    x = 6,720,045,101.86/102,764.16
  6. Step 6: Final answer
    x = 65,392.89

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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.