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Finding the Fourth Proportional to 131,122.83, 180,978.16 and 83,366.85

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Solution

The fourth proportional to 131,122.83, 180,978.16 and 83,366.85 is: 115,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,122.83 : 180,978.16 = 83,366.85 : x
  2. Step 2: Convert to fraction form
    131,122.83/180,978.16 = 83,366.85/x
  3. Step 3: Cross multiply
    131,122.83x = 180,978.16 × 83,366.85
  4. Step 4: Simplify right side
    131,122.83x = 15,087,579,118.00
  5. Step 5: Solve for x
    x = 15,087,579,118.00/131,122.83
  6. Step 6: Final answer
    x = 115,064.47

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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.