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Finding the Fourth Proportional to 203,130.24, 304,508.75 and 69,978.84

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Solution

The fourth proportional to 203,130.24, 304,508.75 and 69,978.84 is: 104,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,130.24 : 304,508.75 = 69,978.84 : x
  2. Step 2: Convert to fraction form
    203,130.24/304,508.75 = 69,978.84/x
  3. Step 3: Cross multiply
    203,130.24x = 304,508.75 × 69,978.84
  4. Step 4: Simplify right side
    203,130.24x = 21,309,168,744.96
  5. Step 5: Solve for x
    x = 21,309,168,744.96/203,130.24
  6. Step 6: Final answer
    x = 104,903.97

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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.