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Finding the Fourth Proportional to 86,961.40, 130,442.10 and 55,857.40

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Solution

The fourth proportional to 86,961.40, 130,442.10 and 55,857.40 is: 83,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,961.40 : 130,442.10 = 55,857.40 : x
  2. Step 2: Convert to fraction form
    86,961.40/130,442.10 = 55,857.40/x
  3. Step 3: Cross multiply
    86,961.40x = 130,442.10 × 55,857.40
  4. Step 4: Simplify right side
    86,961.40x = 7,286,156,556.54
  5. Step 5: Solve for x
    x = 7,286,156,556.54/86,961.40
  6. Step 6: Final answer
    x = 83,786.10

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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.