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Finding the Fourth Proportional to 234,778, 352,218.84 and 87,034

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Solution

The fourth proportional to 234,778, 352,218.84 and 87,034 is: 130,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,778 : 352,218.84 = 87,034 : x
  2. Step 2: Convert to fraction form
    234,778/352,218.84 = 87,034/x
  3. Step 3: Cross multiply
    234,778x = 352,218.84 × 87,034
  4. Step 4: Simplify right side
    234,778x = 30,655,014,520.56
  5. Step 5: Solve for x
    x = 30,655,014,520.56/234,778
  6. Step 6: Final answer
    x = 130,570.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.