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Finding the Fourth Proportional to 210,750.89, 290,748.03 and 138,171.20

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Solution

The fourth proportional to 210,750.89, 290,748.03 and 138,171.20 is: 190,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,750.89 : 290,748.03 = 138,171.20 : x
  2. Step 2: Convert to fraction form
    210,750.89/290,748.03 = 138,171.20/x
  3. Step 3: Cross multiply
    210,750.89x = 290,748.03 × 138,171.20
  4. Step 4: Simplify right side
    210,750.89x = 40,173,002,749.00
  5. Step 5: Solve for x
    x = 40,173,002,749.00/210,750.89
  6. Step 6: Final answer
    x = 190,618.43

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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.