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Finding the Fourth Proportional to 203,416.89, 280,945.11 and 138,775.14

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Solution

The fourth proportional to 203,416.89, 280,945.11 and 138,775.14 is: 191,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,416.89 : 280,945.11 = 138,775.14 : x
  2. Step 2: Convert to fraction form
    203,416.89/280,945.11 = 138,775.14/x
  3. Step 3: Cross multiply
    203,416.89x = 280,945.11 × 138,775.14
  4. Step 4: Simplify right side
    203,416.89x = 38,988,196,972.57
  5. Step 5: Solve for x
    x = 38,988,196,972.57/203,416.89
  6. Step 6: Final answer
    x = 191,666.47

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1.5x scale

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.