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Finding the Fourth Proportional to 75,759.16, 113,638.68 and 20,355.16

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Solution

The fourth proportional to 75,759.16, 113,638.68 and 20,355.16 is: 30,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,759.16 : 113,638.68 = 20,355.16 : x
  2. Step 2: Convert to fraction form
    75,759.16/113,638.68 = 20,355.16/x
  3. Step 3: Cross multiply
    75,759.16x = 113,638.68 × 20,355.16
  4. Step 4: Simplify right side
    75,759.16x = 2,313,133,513.59
  5. Step 5: Solve for x
    x = 2,313,133,513.59/75,759.16
  6. Step 6: Final answer
    x = 30,532.72

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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.