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Finding the Fourth Proportional to 72,289.76, 108,357.06 and 30,138.06

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Solution

The fourth proportional to 72,289.76, 108,357.06 and 30,138.06 is: 45,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,289.76 : 108,357.06 = 30,138.06 : x
  2. Step 2: Convert to fraction form
    72,289.76/108,357.06 = 30,138.06/x
  3. Step 3: Cross multiply
    72,289.76x = 108,357.06 × 30,138.06
  4. Step 4: Simplify right side
    72,289.76x = 3,265,671,921.94
  5. Step 5: Solve for x
    x = 3,265,671,921.94/72,289.76
  6. Step 6: Final answer
    x = 45,174.75

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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.