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Finding the Fourth Proportional to 458,172, 687,270.96 and 125,748

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Solution

The fourth proportional to 458,172, 687,270.96 and 125,748 is: 188,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,172 : 687,270.96 = 125,748 : x
  2. Step 2: Convert to fraction form
    458,172/687,270.96 = 125,748/x
  3. Step 3: Cross multiply
    458,172x = 687,270.96 × 125,748
  4. Step 4: Simplify right side
    458,172x = 86,422,948,678.08
  5. Step 5: Solve for x
    x = 86,422,948,678.08/458,172
  6. Step 6: Final answer
    x = 188,625.56

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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.