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Finding the Fourth Proportional to 86,717.92, 130,086.48 and 34,120.48

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Solution

The fourth proportional to 86,717.92, 130,086.48 and 34,120.48 is: 51,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,717.92 : 130,086.48 = 34,120.48 : x
  2. Step 2: Convert to fraction form
    86,717.92/130,086.48 = 34,120.48/x
  3. Step 3: Cross multiply
    86,717.92x = 130,086.48 × 34,120.48
  4. Step 4: Simplify right side
    86,717.92x = 4,438,613,139.11
  5. Step 5: Solve for x
    x = 4,438,613,139.11/86,717.92
  6. Step 6: Final answer
    x = 51,184.50

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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.