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Finding the Fourth Proportional to 102,800.80, 154,228.64 and 43,639.84

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Solution

The fourth proportional to 102,800.80, 154,228.64 and 43,639.84 is: 65,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800.80 : 154,228.64 = 43,639.84 : x
  2. Step 2: Convert to fraction form
    102,800.80/154,228.64 = 43,639.84/x
  3. Step 3: Cross multiply
    102,800.80x = 154,228.64 × 43,639.84
  4. Step 4: Simplify right side
    102,800.80x = 6,730,513,173.02
  5. Step 5: Solve for x
    x = 6,730,513,173.02/102,800.80
  6. Step 6: Final answer
    x = 65,471.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.