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Finding the Fourth Proportional to 78,229.70, 107,956.77 and 42,419.60

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Solution

The fourth proportional to 78,229.70, 107,956.77 and 42,419.60 is: 58,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,229.70 : 107,956.77 = 42,419.60 : x
  2. Step 2: Convert to fraction form
    78,229.70/107,956.77 = 42,419.60/x
  3. Step 3: Cross multiply
    78,229.70x = 107,956.77 × 42,419.60
  4. Step 4: Simplify right side
    78,229.70x = 4,579,483,000.69
  5. Step 5: Solve for x
    x = 4,579,483,000.69/78,229.70
  6. Step 6: Final answer
    x = 58,538.93

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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.