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Finding the Fourth Proportional to 157,898.79, 217,900.38 and 85,301.70

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Solution

The fourth proportional to 157,898.79, 217,900.38 and 85,301.70 is: 117,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,898.79 : 217,900.38 = 85,301.70 : x
  2. Step 2: Convert to fraction form
    157,898.79/217,900.38 = 85,301.70/x
  3. Step 3: Cross multiply
    157,898.79x = 217,900.38 × 85,301.70
  4. Step 4: Simplify right side
    157,898.79x = 18,587,272,844.65
  5. Step 5: Solve for x
    x = 18,587,272,844.65/157,898.79
  6. Step 6: Final answer
    x = 117,716.37

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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.