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Finding the Fourth Proportional to 131,141.69, 181,040.89 and 85,889.01

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Solution

The fourth proportional to 131,141.69, 181,040.89 and 85,889.01 is: 118,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,141.69 : 181,040.89 = 85,889.01 : x
  2. Step 2: Convert to fraction form
    131,141.69/181,040.89 = 85,889.01/x
  3. Step 3: Cross multiply
    131,141.69x = 181,040.89 × 85,889.01
  4. Step 4: Simplify right side
    131,141.69x = 15,549,422,811.62
  5. Step 5: Solve for x
    x = 15,549,422,811.62/131,141.69
  6. Step 6: Final answer
    x = 118,569.64

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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.