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Finding the Fourth Proportional to 259,857.70, 389,785.94 and 101,975.74

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Solution

The fourth proportional to 259,857.70, 389,785.94 and 101,975.74 is: 152,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,857.70 : 389,785.94 = 101,975.74 : x
  2. Step 2: Convert to fraction form
    259,857.70/389,785.94 = 101,975.74/x
  3. Step 3: Cross multiply
    259,857.70x = 389,785.94 × 101,975.74
  4. Step 4: Simplify right side
    259,857.70x = 39,748,709,673.10
  5. Step 5: Solve for x
    x = 39,748,709,673.10/259,857.70
  6. Step 6: Final answer
    x = 152,963.37

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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.