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Finding the Fourth Proportional to 82,283.40, 123,425.10 and 19,953.90

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Solution

The fourth proportional to 82,283.40, 123,425.10 and 19,953.90 is: 29,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283.40 : 123,425.10 = 19,953.90 : x
  2. Step 2: Convert to fraction form
    82,283.40/123,425.10 = 19,953.90/x
  3. Step 3: Cross multiply
    82,283.40x = 123,425.10 × 19,953.90
  4. Step 4: Simplify right side
    82,283.40x = 2,462,812,102.89
  5. Step 5: Solve for x
    x = 2,462,812,102.89/82,283.40
  6. Step 6: Final answer
    x = 29,930.85

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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.