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Finding the Fourth Proportional to 102,622.80, 141,544.20 and 74,375.76

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Solution

The fourth proportional to 102,622.80, 141,544.20 and 74,375.76 is: 102,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,622.80 : 141,544.20 = 74,375.76 : x
  2. Step 2: Convert to fraction form
    102,622.80/141,544.20 = 74,375.76/x
  3. Step 3: Cross multiply
    102,622.80x = 141,544.20 × 74,375.76
  4. Step 4: Simplify right side
    102,622.80x = 10,527,457,448.59
  5. Step 5: Solve for x
    x = 10,527,457,448.59/102,622.80
  6. Step 6: Final answer
    x = 102,584.00

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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.