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Finding the Fourth Proportional to 70,875.36, 106,278.48 and 30,928.14

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Solution

The fourth proportional to 70,875.36, 106,278.48 and 30,928.14 is: 46,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,875.36 : 106,278.48 = 30,928.14 : x
  2. Step 2: Convert to fraction form
    70,875.36/106,278.48 = 30,928.14/x
  3. Step 3: Cross multiply
    70,875.36x = 106,278.48 × 30,928.14
  4. Step 4: Simplify right side
    70,875.36x = 3,286,995,708.43
  5. Step 5: Solve for x
    x = 3,286,995,708.43/70,875.36
  6. Step 6: Final answer
    x = 46,377.13

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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.