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Finding the Fourth Proportional to 102,722.64, 153,865.90 and 67,057.93

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Solution

The fourth proportional to 102,722.64, 153,865.90 and 67,057.93 is: 100,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,722.64 : 153,865.90 = 67,057.93 : x
  2. Step 2: Convert to fraction form
    102,722.64/153,865.90 = 67,057.93/x
  3. Step 3: Cross multiply
    102,722.64x = 153,865.90 × 67,057.93
  4. Step 4: Simplify right side
    102,722.64x = 10,317,928,751.59
  5. Step 5: Solve for x
    x = 10,317,928,751.59/102,722.64
  6. Step 6: Final answer
    x = 100,444.54

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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.