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Finding the Fourth Proportional to 86,708.16, 130,099.80 and 30,588.42

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Solution

The fourth proportional to 86,708.16, 130,099.80 and 30,588.42 is: 45,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,708.16 : 130,099.80 = 30,588.42 : x
  2. Step 2: Convert to fraction form
    86,708.16/130,099.80 = 30,588.42/x
  3. Step 3: Cross multiply
    86,708.16x = 130,099.80 × 30,588.42
  4. Step 4: Simplify right side
    86,708.16x = 3,979,547,324.32
  5. Step 5: Solve for x
    x = 3,979,547,324.32/86,708.16
  6. Step 6: Final answer
    x = 45,895.88

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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.