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Finding the Fourth Proportional to 203,164, 280,301.48 and 131,598.88

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Solution

The fourth proportional to 203,164, 280,301.48 and 131,598.88 is: 181,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,164 : 280,301.48 = 131,598.88 : x
  2. Step 2: Convert to fraction form
    203,164/280,301.48 = 131,598.88/x
  3. Step 3: Cross multiply
    203,164x = 280,301.48 × 131,598.88
  4. Step 4: Simplify right side
    203,164x = 36,887,360,830.34
  5. Step 5: Solve for x
    x = 36,887,360,830.34/203,164
  6. Step 6: Final answer
    x = 181,564.45

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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.