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Finding the Fourth Proportional to 101,138.90, 151,708.35 and 31,009.10

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Solution

The fourth proportional to 101,138.90, 151,708.35 and 31,009.10 is: 46,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,138.90 : 151,708.35 = 31,009.10 : x
  2. Step 2: Convert to fraction form
    101,138.90/151,708.35 = 31,009.10/x
  3. Step 3: Cross multiply
    101,138.90x = 151,708.35 × 31,009.10
  4. Step 4: Simplify right side
    101,138.90x = 4,704,339,395.99
  5. Step 5: Solve for x
    x = 4,704,339,395.99/101,138.90
  6. Step 6: Final answer
    x = 46,513.65

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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.