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Finding the Fourth Proportional to 96,678, 133,416 and 56,419.56

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Solution

The fourth proportional to 96,678, 133,416 and 56,419.56 is: 77,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,678 : 133,416 = 56,419.56 : x
  2. Step 2: Convert to fraction form
    96,678/133,416 = 56,419.56/x
  3. Step 3: Cross multiply
    96,678x = 133,416 × 56,419.56
  4. Step 4: Simplify right side
    96,678x = 7,527,272,016.96
  5. Step 5: Solve for x
    x = 7,527,272,016.96/96,678
  6. Step 6: Final answer
    x = 77,859.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.