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Finding the Fourth Proportional to 102,499.80, 141,395.94 and 83,400.90

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Solution

The fourth proportional to 102,499.80, 141,395.94 and 83,400.90 is: 115,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,499.80 : 141,395.94 = 83,400.90 : x
  2. Step 2: Convert to fraction form
    102,499.80/141,395.94 = 83,400.90/x
  3. Step 3: Cross multiply
    102,499.80x = 141,395.94 × 83,400.90
  4. Step 4: Simplify right side
    102,499.80x = 11,792,548,652.35
  5. Step 5: Solve for x
    x = 11,792,548,652.35/102,499.80
  6. Step 6: Final answer
    x = 115,049.48

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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.