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Finding the Fourth Proportional to 102,659.70, 141,687.50 and 99,961.49

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Solution

The fourth proportional to 102,659.70, 141,687.50 and 99,961.49 is: 137,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,659.70 : 141,687.50 = 99,961.49 : x
  2. Step 2: Convert to fraction form
    102,659.70/141,687.50 = 99,961.49/x
  3. Step 3: Cross multiply
    102,659.70x = 141,687.50 × 99,961.49
  4. Step 4: Simplify right side
    102,659.70x = 14,163,292,406.13
  5. Step 5: Solve for x
    x = 14,163,292,406.13/102,659.70
  6. Step 6: Final answer
    x = 137,963.51

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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.