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Finding the Fourth Proportional to 70,886.25, 106,329.78 and 18,292.14

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Solution

The fourth proportional to 70,886.25, 106,329.78 and 18,292.14 is: 27,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,886.25 : 106,329.78 = 18,292.14 : x
  2. Step 2: Convert to fraction form
    70,886.25/106,329.78 = 18,292.14/x
  3. Step 3: Cross multiply
    70,886.25x = 106,329.78 × 18,292.14
  4. Step 4: Simplify right side
    70,886.25x = 1,944,999,221.93
  5. Step 5: Solve for x
    x = 1,944,999,221.93/70,886.25
  6. Step 6: Final answer
    x = 27,438.31

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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.