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Finding the Fourth Proportional to 142,778, 197,037.96 and 79,109.84

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Solution

The fourth proportional to 142,778, 197,037.96 and 79,109.84 is: 109,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,778 : 197,037.96 = 79,109.84 : x
  2. Step 2: Convert to fraction form
    142,778/197,037.96 = 79,109.84/x
  3. Step 3: Cross multiply
    142,778x = 197,037.96 × 79,109.84
  4. Step 4: Simplify right side
    142,778x = 15,587,641,489.53
  5. Step 5: Solve for x
    x = 15,587,641,489.53/142,778
  6. Step 6: Final answer
    x = 109,173.97

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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.