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Finding the Fourth Proportional to 128,770.77, 193,129.86 and 48,781.16

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Solution

The fourth proportional to 128,770.77, 193,129.86 and 48,781.16 is: 73,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,770.77 : 193,129.86 = 48,781.16 : x
  2. Step 2: Convert to fraction form
    128,770.77/193,129.86 = 48,781.16/x
  3. Step 3: Cross multiply
    128,770.77x = 193,129.86 × 48,781.16
  4. Step 4: Simplify right side
    128,770.77x = 9,421,099,354.92
  5. Step 5: Solve for x
    x = 9,421,099,354.92/128,770.77
  6. Step 6: Final answer
    x = 73,161.78

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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.