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Finding the Fourth Proportional to 203,575.16, 305,313.53 and 85,335

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Solution

The fourth proportional to 203,575.16, 305,313.53 and 85,335 is: 127,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,575.16 : 305,313.53 = 85,335 : x
  2. Step 2: Convert to fraction form
    203,575.16/305,313.53 = 85,335/x
  3. Step 3: Cross multiply
    203,575.16x = 305,313.53 × 85,335
  4. Step 4: Simplify right side
    203,575.16x = 26,053,929,655.88
  5. Step 5: Solve for x
    x = 26,053,929,655.88/203,575.16
  6. Step 6: Final answer
    x = 127,981.87

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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.