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Finding the Fourth Proportional to 82,104.84, 123,157.32 and 19,775.40

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Solution

The fourth proportional to 82,104.84, 123,157.32 and 19,775.40 is: 29,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104.84 : 123,157.32 = 19,775.40 : x
  2. Step 2: Convert to fraction form
    82,104.84/123,157.32 = 19,775.40/x
  3. Step 3: Cross multiply
    82,104.84x = 123,157.32 × 19,775.40
  4. Step 4: Simplify right side
    82,104.84x = 2,435,485,265.93
  5. Step 5: Solve for x
    x = 2,435,485,265.93/82,104.84
  6. Step 6: Final answer
    x = 29,663.11

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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.