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Finding the Fourth Proportional to 131,013.76, 180,828.14 and 83,257.78

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Solution

The fourth proportional to 131,013.76, 180,828.14 and 83,257.78 is: 114,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,013.76 : 180,828.14 = 83,257.78 : x
  2. Step 2: Convert to fraction form
    131,013.76/180,828.14 = 83,257.78/x
  3. Step 3: Cross multiply
    131,013.76x = 180,828.14 × 83,257.78
  4. Step 4: Simplify right side
    131,013.76x = 15,055,349,497.93
  5. Step 5: Solve for x
    x = 15,055,349,497.93/131,013.76
  6. Step 6: Final answer
    x = 114,914.26

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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.