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Finding the Fourth Proportional to 203,783.40, 305,705.82 and 63,553

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Solution

The fourth proportional to 203,783.40, 305,705.82 and 63,553 is: 95,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,783.40 : 305,705.82 = 63,553 : x
  2. Step 2: Convert to fraction form
    203,783.40/305,705.82 = 63,553/x
  3. Step 3: Cross multiply
    203,783.40x = 305,705.82 × 63,553
  4. Step 4: Simplify right side
    203,783.40x = 19,428,521,978.46
  5. Step 5: Solve for x
    x = 19,428,521,978.46/203,783.40
  6. Step 6: Final answer
    x = 95,339.08

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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.