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Finding the Fourth Proportional to 82,032.30, 123,048.45 and 81,513.90

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Solution

The fourth proportional to 82,032.30, 123,048.45 and 81,513.90 is: 122,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032.30 : 123,048.45 = 81,513.90 : x
  2. Step 2: Convert to fraction form
    82,032.30/123,048.45 = 81,513.90/x
  3. Step 3: Cross multiply
    82,032.30x = 123,048.45 × 81,513.90
  4. Step 4: Simplify right side
    82,032.30x = 10,030,159,048.46
  5. Step 5: Solve for x
    x = 10,030,159,048.46/82,032.30
  6. Step 6: Final answer
    x = 122,270.85

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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.