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Finding the Fourth Proportional to 123,851.70, 170,986.28 and 81,533.25

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Solution

The fourth proportional to 123,851.70, 170,986.28 and 81,533.25 is: 112,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,851.70 : 170,986.28 = 81,533.25 : x
  2. Step 2: Convert to fraction form
    123,851.70/170,986.28 = 81,533.25/x
  3. Step 3: Cross multiply
    123,851.70x = 170,986.28 × 81,533.25
  4. Step 4: Simplify right side
    123,851.70x = 13,941,066,706.14
  5. Step 5: Solve for x
    x = 13,941,066,706.14/123,851.70
  6. Step 6: Final answer
    x = 112,562.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.