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Finding the Fourth Proportional to 131,868.96, 181,978.94 and 71,441.14

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Solution

The fourth proportional to 131,868.96, 181,978.94 and 71,441.14 is: 98,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,868.96 : 181,978.94 = 71,441.14 : x
  2. Step 2: Convert to fraction form
    131,868.96/181,978.94 = 71,441.14/x
  3. Step 3: Cross multiply
    131,868.96x = 181,978.94 × 71,441.14
  4. Step 4: Simplify right side
    131,868.96x = 13,000,782,653.25
  5. Step 5: Solve for x
    x = 13,000,782,653.25/131,868.96
  6. Step 6: Final answer
    x = 98,588.65

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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.