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Finding the Fourth Proportional to 106,138.95, 159,212.40 and 31,259.13

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Solution

The fourth proportional to 106,138.95, 159,212.40 and 31,259.13 is: 46,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,138.95 : 159,212.40 = 31,259.13 : x
  2. Step 2: Convert to fraction form
    106,138.95/159,212.40 = 31,259.13/x
  3. Step 3: Cross multiply
    106,138.95x = 159,212.40 × 31,259.13
  4. Step 4: Simplify right side
    106,138.95x = 4,976,841,109.21
  5. Step 5: Solve for x
    x = 4,976,841,109.21/106,138.95
  6. Step 6: Final answer
    x = 46,889.87

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1.5x scale

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.