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Finding the Fourth Proportional to 86,868, 130,242.24 and 34,283.52

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Solution

The fourth proportional to 86,868, 130,242.24 and 34,283.52 is: 51,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,868 : 130,242.24 = 34,283.52 : x
  2. Step 2: Convert to fraction form
    86,868/130,242.24 = 34,283.52/x
  3. Step 3: Cross multiply
    86,868x = 130,242.24 × 34,283.52
  4. Step 4: Simplify right side
    86,868x = 4,465,162,439.88
  5. Step 5: Solve for x
    x = 4,465,162,439.88/86,868
  6. Step 6: Final answer
    x = 51,401.69

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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.