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Finding the Fourth Proportional to 82,048.02, 123,072.02 and 19,718.52

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Solution

The fourth proportional to 82,048.02, 123,072.02 and 19,718.52 is: 29,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,048.02 : 123,072.02 = 19,718.52 : x
  2. Step 2: Convert to fraction form
    82,048.02/123,072.02 = 19,718.52/x
  3. Step 3: Cross multiply
    82,048.02x = 123,072.02 × 19,718.52
  4. Step 4: Simplify right side
    82,048.02x = 2,426,798,087.81
  5. Step 5: Solve for x
    x = 2,426,798,087.81/82,048.02
  6. Step 6: Final answer
    x = 29,577.78

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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.