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Finding the Fourth Proportional to 203,673.78, 305,471.10 and 102,444.84

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Solution

The fourth proportional to 203,673.78, 305,471.10 and 102,444.84 is: 153,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,673.78 : 305,471.10 = 102,444.84 : x
  2. Step 2: Convert to fraction form
    203,673.78/305,471.10 = 102,444.84/x
  3. Step 3: Cross multiply
    203,673.78x = 305,471.10 × 102,444.84
  4. Step 4: Simplify right side
    203,673.78x = 31,293,937,964.12
  5. Step 5: Solve for x
    x = 31,293,937,964.12/203,673.78
  6. Step 6: Final answer
    x = 153,647.36

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1.5x scale

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.