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Finding the Fourth Proportional to 131,051.65, 196,282.05 and 91,784.02

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Solution

The fourth proportional to 131,051.65, 196,282.05 and 91,784.02 is: 137,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,051.65 : 196,282.05 = 91,784.02 : x
  2. Step 2: Convert to fraction form
    131,051.65/196,282.05 = 91,784.02/x
  3. Step 3: Cross multiply
    131,051.65x = 196,282.05 × 91,784.02
  4. Step 4: Simplify right side
    131,051.65x = 18,015,555,602.84
  5. Step 5: Solve for x
    x = 18,015,555,602.84/131,051.65
  6. Step 6: Final answer
    x = 137,469.12

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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.