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Finding the Fourth Proportional to 82,406.36, 123,271.13 and 65,798.87

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Solution

The fourth proportional to 82,406.36, 123,271.13 and 65,798.87 is: 98,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.36 : 123,271.13 = 65,798.87 : x
  2. Step 2: Convert to fraction form
    82,406.36/123,271.13 = 65,798.87/x
  3. Step 3: Cross multiply
    82,406.36x = 123,271.13 × 65,798.87
  4. Step 4: Simplify right side
    82,406.36x = 8,111,100,605.76
  5. Step 5: Solve for x
    x = 8,111,100,605.76/82,406.36
  6. Step 6: Final answer
    x = 98,428.09

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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.