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Finding the Fourth Proportional to 135,809.30, 187,303.78 and 101,893.05

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Solution

The fourth proportional to 135,809.30, 187,303.78 and 101,893.05 is: 140,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,809.30 : 187,303.78 = 101,893.05 : x
  2. Step 2: Convert to fraction form
    135,809.30/187,303.78 = 101,893.05/x
  3. Step 3: Cross multiply
    135,809.30x = 187,303.78 × 101,893.05
  4. Step 4: Simplify right side
    135,809.30x = 19,084,953,420.73
  5. Step 5: Solve for x
    x = 19,084,953,420.73/135,809.30
  6. Step 6: Final answer
    x = 140,527.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.