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Finding the Fourth Proportional to 95,684, 143,560.56 and 30,020

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Solution

The fourth proportional to 95,684, 143,560.56 and 30,020 is: 45,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,684 : 143,560.56 = 30,020 : x
  2. Step 2: Convert to fraction form
    95,684/143,560.56 = 30,020/x
  3. Step 3: Cross multiply
    95,684x = 143,560.56 × 30,020
  4. Step 4: Simplify right side
    95,684x = 4,309,688,011.20
  5. Step 5: Solve for x
    x = 4,309,688,011.20/95,684
  6. Step 6: Final answer
    x = 45,040.84

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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.