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Finding the Fourth Proportional to 82,400, 123,526.70 and 29,797.80

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Solution

The fourth proportional to 82,400, 123,526.70 and 29,797.80 is: 44,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,400 : 123,526.70 = 29,797.80 : x
  2. Step 2: Convert to fraction form
    82,400/123,526.70 = 29,797.80/x
  3. Step 3: Cross multiply
    82,400x = 123,526.70 × 29,797.80
  4. Step 4: Simplify right side
    82,400x = 3,680,823,901.26
  5. Step 5: Solve for x
    x = 3,680,823,901.26/82,400
  6. Step 6: Final answer
    x = 44,670.19

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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.