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Finding the Fourth Proportional to 131,771.84, 181,720.64 and 86,489.08

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Solution

The fourth proportional to 131,771.84, 181,720.64 and 86,489.08 is: 119,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,771.84 : 181,720.64 = 86,489.08 : x
  2. Step 2: Convert to fraction form
    131,771.84/181,720.64 = 86,489.08/x
  3. Step 3: Cross multiply
    131,771.84x = 181,720.64 × 86,489.08
  4. Step 4: Simplify right side
    131,771.84x = 15,716,850,970.61
  5. Step 5: Solve for x
    x = 15,716,850,970.61/131,771.84
  6. Step 6: Final answer
    x = 119,273.21

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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.