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Finding the Fourth Proportional to 157,958.84, 217,989.06 and 86,343.72

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Solution

The fourth proportional to 157,958.84, 217,989.06 and 86,343.72 is: 119,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,958.84 : 217,989.06 = 86,343.72 : x
  2. Step 2: Convert to fraction form
    157,958.84/217,989.06 = 86,343.72/x
  3. Step 3: Cross multiply
    157,958.84x = 217,989.06 × 86,343.72
  4. Step 4: Simplify right side
    157,958.84x = 18,821,986,359.70
  5. Step 5: Solve for x
    x = 18,821,986,359.70/157,958.84
  6. Step 6: Final answer
    x = 119,157.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.