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Finding the Fourth Proportional to 203,438.70, 304,939.35 and 77,030.10

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Solution

The fourth proportional to 203,438.70, 304,939.35 and 77,030.10 is: 115,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,438.70 : 304,939.35 = 77,030.10 : x
  2. Step 2: Convert to fraction form
    203,438.70/304,939.35 = 77,030.10/x
  3. Step 3: Cross multiply
    203,438.70x = 304,939.35 × 77,030.10
  4. Step 4: Simplify right side
    203,438.70x = 23,489,508,624.44
  5. Step 5: Solve for x
    x = 23,489,508,624.44/203,438.70
  6. Step 6: Final answer
    x = 115,462.34

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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.