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Finding the Fourth Proportional to 75,330.56, 113,032.56 and 30,970.64

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Solution

The fourth proportional to 75,330.56, 113,032.56 and 30,970.64 is: 46,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330.56 : 113,032.56 = 30,970.64 : x
  2. Step 2: Convert to fraction form
    75,330.56/113,032.56 = 30,970.64/x
  3. Step 3: Cross multiply
    75,330.56x = 113,032.56 × 30,970.64
  4. Step 4: Simplify right side
    75,330.56x = 3,500,690,724.04
  5. Step 5: Solve for x
    x = 3,500,690,724.04/75,330.56
  6. Step 6: Final answer
    x = 46,471.06

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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.