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Finding the Fourth Proportional to 89,692, 123,789.54 and 51,988.12

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Solution

The fourth proportional to 89,692, 123,789.54 and 51,988.12 is: 71,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,692 : 123,789.54 = 51,988.12 : x
  2. Step 2: Convert to fraction form
    89,692/123,789.54 = 51,988.12/x
  3. Step 3: Cross multiply
    89,692x = 123,789.54 × 51,988.12
  4. Step 4: Simplify right side
    89,692x = 6,435,585,460.26
  5. Step 5: Solve for x
    x = 6,435,585,460.26/89,692
  6. Step 6: Final answer
    x = 71,752.06

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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.