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Finding the Fourth Proportional to 86,709.16, 130,101.30 and 30,589.42

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Solution

The fourth proportional to 86,709.16, 130,101.30 and 30,589.42 is: 45,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,709.16 : 130,101.30 = 30,589.42 : x
  2. Step 2: Convert to fraction form
    86,709.16/130,101.30 = 30,589.42/x
  3. Step 3: Cross multiply
    86,709.16x = 130,101.30 × 30,589.42
  4. Step 4: Simplify right side
    86,709.16x = 3,979,723,308.25
  5. Step 5: Solve for x
    x = 3,979,723,308.25/86,709.16
  6. Step 6: Final answer
    x = 45,897.38

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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.