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Finding the Fourth Proportional to 82,431.40, 123,776.70 and 47,439.40

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Solution

The fourth proportional to 82,431.40, 123,776.70 and 47,439.40 is: 71,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,431.40 : 123,776.70 = 47,439.40 : x
  2. Step 2: Convert to fraction form
    82,431.40/123,776.70 = 47,439.40/x
  3. Step 3: Cross multiply
    82,431.40x = 123,776.70 × 47,439.40
  4. Step 4: Simplify right side
    82,431.40x = 5,871,892,381.98
  5. Step 5: Solve for x
    x = 5,871,892,381.98/82,431.40
  6. Step 6: Final answer
    x = 71,233.69

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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.