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Finding the Fourth Proportional to 203,835, 305,563.89 and 77,437.35

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Solution

The fourth proportional to 203,835, 305,563.89 and 77,437.35 is: 116,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,835 : 305,563.89 = 77,437.35 : x
  2. Step 2: Convert to fraction form
    203,835/305,563.89 = 77,437.35/x
  3. Step 3: Cross multiply
    203,835x = 305,563.89 × 77,437.35
  4. Step 4: Simplify right side
    203,835x = 23,662,057,897.29
  5. Step 5: Solve for x
    x = 23,662,057,897.29/203,835
  6. Step 6: Final answer
    x = 116,084.37

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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.