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Finding the Fourth Proportional to 138,960.96, 208,438.56 and 33,780.48

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Solution

The fourth proportional to 138,960.96, 208,438.56 and 33,780.48 is: 50,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,960.96 : 208,438.56 = 33,780.48 : x
  2. Step 2: Convert to fraction form
    138,960.96/208,438.56 = 33,780.48/x
  3. Step 3: Cross multiply
    138,960.96x = 208,438.56 × 33,780.48
  4. Step 4: Simplify right side
    138,960.96x = 7,041,154,607.31
  5. Step 5: Solve for x
    x = 7,041,154,607.31/138,960.96
  6. Step 6: Final answer
    x = 50,670.02

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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.