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Finding the Fourth Proportional to 75,639.80, 113,459.70 and 47,646.20

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Solution

The fourth proportional to 75,639.80, 113,459.70 and 47,646.20 is: 71,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,639.80 : 113,459.70 = 47,646.20 : x
  2. Step 2: Convert to fraction form
    75,639.80/113,459.70 = 47,646.20/x
  3. Step 3: Cross multiply
    75,639.80x = 113,459.70 × 47,646.20
  4. Step 4: Simplify right side
    75,639.80x = 5,405,923,558.14
  5. Step 5: Solve for x
    x = 5,405,923,558.14/75,639.80
  6. Step 6: Final answer
    x = 71,469.30

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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.